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Номер 626, страница 182 - гдз по алгебре 9 класс учебник Солтан, Солтан
Авторы: Солтан Г. Н., Солтан А. Е., Жумадилова А. Ж.
Тип: Учебник
Издательство: Кокшетау
Год издания: 2019 - 2026
ISBN: 978-601-317-424-2
Рекомендовано Министерством образования и науки Республики Казахстан
Популярные ГДЗ в 9 классе
IV. Тригонометрия. 23. Тригонометрические функции и их свойства - номер 626, страница 182.
App\Models\Task {#1024 // resources/views/models/task/default.blade.php #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108361 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-626" "field_display_title" => "626" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#331 #items: array:1 [ 0 => App\Models\Term {#1029 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1026 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#342 #items: array:1 [ 0 => App\Models\Branch {#1023 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1107662 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "IV. Тригонометрия" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "147" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1033 #items: array:1 [ 0 => App\Models\Book {#1030 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:50 [ "id" => 4298 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1032 #items: array:1 [ 0 => App\Models\Term {#1034 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6471 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алгебра" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "алгебру" "field_creative_case" => "алгеброй" "field_dative_case" => "алгебре" "field_genitive_case" => "алгебры" "field_nominative_case" => "алгебра" "field_prepositional_case" => "алгебре" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "algebra" ] #original: array:10 [ "id" => 6471 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алгебра" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "алгебру" "field_creative_case" => "алгеброй" "field_dative_case" => "алгебре" "field_genitive_case" => "алгебры" "field_nominative_case" => "алгебра" "field_prepositional_case" => "алгебре" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "algebra" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1035 #items: array:1 [ 0 => App\Models\Term {#1036 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #original: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1038 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 7002 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кокшетау" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "Kokshetau" ] #original: array:6 [ "id" => 7002 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Кокшетау" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "Kokshetau" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1039 #items: array:3 [ 0 => App\Models\Term {#1040 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 7003 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Солтан" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Николаевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 7003 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Солтан" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Генадий" "field_patronymic" => "Николаевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1041 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 7004 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Солтан" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Алла" "field_patronymic" => "Евгеньевна" "field_surname_rp" => null ] #original: array:12 [ "id" => 7004 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Солтан" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Алла" "field_patronymic" => "Евгеньевна" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Term {#1042 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 7005 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Жумадилова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Аманбала" "field_patronymic" => "Жумадиловна" "field_surname_rp" => null ] #original: array:12 [ "id" => 7005 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Жумадилова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Аманбала" "field_patronymic" => "Жумадиловна" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1043 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044 #items: array:1 [ 0 => App\Models\Term {#1045 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Term {#1047 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 6994 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Казахстан" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "kazakhstan" ] #original: array:6 [ "id" => 6994 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Казахстан" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "kazakhstan" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1048 #items: array:1 [ 0 => App\Models\Term {#1049 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 6995 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алматы" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "almaty" ] #original: array:6 [ "id" => 6995 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Алматы" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "almaty" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1050 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1051 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1052 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1053 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1055 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2019" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для учащихся 9 класса общеобразовательных школ" "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан" "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "1291" "field_priority" => "4" "field_default_folder" => "/algebra_09/soltan-u19/" "field_isbn" => "978-601-317-424-2" "field_cover" => array:1 [ 0 => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" "alt" => "" "width" => "1940" "height" => "2895" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1058 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1059 #items: [] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 542 "class_subject" => 386 ] ] #original: array:50 [ "id" => 4298 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1032} "field_class" => Illuminate\Database\Eloquent\Collection {#1035} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037} "field_author" => Illuminate\Database\Eloquent\Collection {#1039} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1043} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1044} "field_country" => Illuminate\Database\Eloquent\Collection {#1046} "field_city" => Illuminate\Database\Eloquent\Collection {#1048} "field_series" => Illuminate\Database\Eloquent\Collection {#1050} "field_umk" => Illuminate\Database\Eloquent\Collection {#1051} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1052} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1053} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1055} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2019" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для учащихся 9 класса общеобразовательных школ" "field_allowed" => "Рекомендовано Министерством образования и науки Республики Казахстан" "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "1291" "field_priority" => "4" "field_default_folder" => "/algebra_09/soltan-u19/" "field_isbn" => "978-601-317-424-2" "field_cover" => array:1 [ 0 => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" "alt" => "" "width" => "1940" "height" => "2895" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1056} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1057} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1058} "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1059} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 542 "class_subject" => 386 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1060 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1107662 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "IV. Тригонометрия" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333} "field_page_start" => "147" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1033} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1060} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1061 #items: array:2 [ 0 => App\Models\Branch {#1023} 1 => App\Models\Branch {#1062 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1107665 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "23. Тригонометрические функции и их свойства" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1063 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "172" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1064 #items: array:1 [ 0 => App\Models\Book {#1030} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1065 #items: array:1 [ 0 => App\Models\Branch {#1066 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1107662 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "IV. Тригонометрия" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "147" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Book {#1069 …30} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1097 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1107662 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "IV. Тригонометрия" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1067} "field_page_start" => "147" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1068} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1097} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1107665 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "23. Тригонометрические функции и их свойства" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1063} "field_page_start" => "172" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1064} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1065} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1098 #items: array:3 [ 0 => App\Models\Element {#1099 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1276981 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1100 #items: array:1 [ 0 => App\Models\Edition {#1101 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 4953 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1102 #items: array:1 [ 0 => App\Models\Term {#1103 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1104 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1105 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1106 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 4953 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1102} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1104} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1105} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1106} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "text" => "<p><strong>626.</strong> Используя свойства функции $y = \sin x$ или $y = \cos x$, найдите значения $x$, удовлетворяющие условию:</p><p><strong>а)</strong> $\sin \frac{2x}{3} \ge 0;$</p><p><strong>в)</strong> $\sin 3x < 0;$</p><p><strong>б)</strong> $\cos \frac{x}{6} < 0;$</p><p><strong>г)</strong> $\cos 2x \ge 0.$</p>" "img" => array:1 [ 0 => array:5 [ "name" => "626-1.jpg" "alt" => null "width" => "1580" "height" => 465 "path" => "/media/algebra_09/soltan-u19/0-1/626-1.webp?ts=1752834644" ] ] ] #original: array:7 [ "id" => 1276981 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1100} "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "text" => "<p><strong>626.</strong> Используя свойства функции $y = \sin x$ или $y = \cos x$, найдите значения $x$, удовлетворяющие условию:</p><p><strong>а)</strong> $\sin \frac{2x}{3} \ge 0;$</p><p><strong>в)</strong> $\sin 3x < 0;$</p><p><strong>б)</strong> $\cos \frac{x}{6} < 0;$</p><p><strong>г)</strong> $\cos 2x \ge 0.$</p>" "img" => array:1 [ 0 => array:5 [ "name" => "626-1.jpg" "alt" => null "width" => "1580" "height" => 465 "path" => "/media/algebra_09/soltan-u19/0-1/626-1.webp?ts=1752834644" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1107 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1278272 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1108 #items: array:1 [ 0 => App\Models\Edition {#1109 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 4954 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:1 [ 0 => App\Models\Term {#1111 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "pasha" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1112 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1113 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1114 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 4954 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1110} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "pasha" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1112} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1113} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1114} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "626-1.jpg" "alt" => null "width" => "1445" "height" => 1626 "path" => "/media/algebra_09/soltan-u19/1-1/626-1.webp?ts=1752831420" ] ] ] #original: array:6 [ "id" => 1278272 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1108} "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "626-1.jpg" "alt" => null "width" => "1445" "height" => 1626 "path" => "/media/algebra_09/soltan-u19/1-1/626-1.webp?ts=1752831420" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Element {#1115 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1554227 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1116 #items: array:1 [ 0 => App\Models\Edition {#1117 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 5665 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2 (rus)" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1118 #items: array:1 [ 0 => App\Models\Term {#1119 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1120 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1121 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1122 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 5665 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2 (rus)" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1118} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1120} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1121} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1122} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "text" => "<p><strong>а)</strong> $ \sin \frac{2x}{3} \ge 0 $</p><p>Для решения этого неравенства воспользуемся свойством функции $ y = \sin t $. Эта функция принимает неотрицательные значения ($ \sin t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ 0 $ до $ \pi $, включая концы. С учетом периодичности функции синус (период $ 2\pi $), общее решение для аргумента $ t $ будет:</p><p>$ 2\pi k \le t \le \pi + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Сделаем обратную замену $ t = \frac{2x}{3} $:</p><p>$ 2\pi k \le \frac{2x}{3} \le \pi + 2\pi k $</p><p>Чтобы найти $ x $, умножим все части двойного неравенства на $ \frac{3}{2} $:</p><p>$ 2\pi k \cdot \frac{3}{2} \le \frac{2x}{3} \cdot \frac{3}{2} \le (\pi + 2\pi k) \cdot \frac{3}{2} $</p><p>$ 3\pi k \le x \le \frac{3\pi}{2} + 3\pi k $</p><p><strong>Ответ:</strong> $ x \in [3\pi k; \frac{3\pi}{2} + 3\pi k] $, где $ k \in \mathbb{Z} $.</p><p><strong>б)</strong> $ \cos \frac{x}{6} < 0 $</p><p>Рассмотрим свойство функции $ y = \cos t $. Эта функция принимает отрицательные значения ($ \cos t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \frac{\pi}{2} $ до $ \frac{3\pi}{2} $. С учетом периода функции косинус, равного $ 2\pi $, общее решение для аргумента $ t $ имеет вид:</p><p>$ \frac{\pi}{2} + 2\pi k < t < \frac{3\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Произведем обратную замену $ t = \frac{x}{6} $:</p><p>$ \frac{\pi}{2} + 2\pi k < \frac{x}{6} < \frac{3\pi}{2} + 2\pi k $</p><p>Для нахождения $ x $ умножим все части неравенства на $ 6 $:</p><p>$ (\frac{\pi}{2} + 2\pi k) \cdot 6 < \frac{x}{6} \cdot 6 < (\frac{3\pi}{2} + 2\pi k) \cdot 6 $</p><p>$ 3\pi + 12\pi k < x < 9\pi + 12\pi k $</p><p><strong>Ответ:</strong> $ x \in (3\pi + 12\pi k; 9\pi + 12\pi k) $, где $ k \in \mathbb{Z} $.</p><p><strong>в)</strong> $ \sin 3x < 0 $</p><p>Функция $ y = \sin t $ принимает отрицательные значения ($ \sin t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \pi $ до $ 2\pi $. Учитывая периодичность, общее решение для $ t $ будет:</p><p>$ \pi + 2\pi k < t < 2\pi + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Сделаем обратную замену $ t = 3x $:</p><p>$ \pi + 2\pi k < 3x < 2\pi + 2\pi k $</p><p>Чтобы найти $ x $, разделим все части двойного неравенства на $ 3 $:</p><p>$ \frac{\pi + 2\pi k}{3} < x < \frac{2\pi + 2\pi k}{3} $</p><p>$ \frac{\pi}{3} + \frac{2\pi k}{3} < x < \frac{2\pi}{3} + \frac{2\pi k}{3} $</p><p><strong>Ответ:</strong> $ x \in (\frac{\pi}{3} + \frac{2\pi k}{3}; \frac{2\pi}{3} + \frac{2\pi k}{3}) $, где $ k \in \mathbb{Z} $.</p><p><strong>г)</strong> $ \cos 2x \ge 0 $</p><p>Функция $ y = \cos t $ принимает неотрицательные значения ($ \cos t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ -\frac{\pi}{2} $ до $ \frac{\pi}{2} $, включая концы. С учетом периода $ 2\pi $ общее решение для $ t $ будет:</p><p>$ -\frac{\pi}{2} + 2\pi k \le t \le \frac{\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Произведем обратную замену $ t = 2x $:</p><p>$ -\frac{\pi}{2} + 2\pi k \le 2x \le \frac{\pi}{2} + 2\pi k $</p><p>Для нахождения $ x $ разделим все части неравенства на $ 2 $:</p><p>$ \frac{-\frac{\pi}{2} + 2\pi k}{2} \le x \le \frac{\frac{\pi}{2} + 2\pi k}{2} $</p><p>$ -\frac{\pi}{4} + \pi k \le x \le \frac{\pi}{4} + \pi k $</p><p><strong>Ответ:</strong> $ x \in [-\frac{\pi}{4} + \pi k; \frac{\pi}{4} + \pi k] $, где $ k \in \mathbb{Z} $.</p>" ] #original: array:6 [ "id" => 1554227 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1116} "task" => array:2 [ "refs" => "1108361" "type" => "task" ] "text" => "<p><strong>а)</strong> $ \sin \frac{2x}{3} \ge 0 $</p><p>Для решения этого неравенства воспользуемся свойством функции $ y = \sin t $. Эта функция принимает неотрицательные значения ($ \sin t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ 0 $ до $ \pi $, включая концы. С учетом периодичности функции синус (период $ 2\pi $), общее решение для аргумента $ t $ будет:</p><p>$ 2\pi k \le t \le \pi + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Сделаем обратную замену $ t = \frac{2x}{3} $:</p><p>$ 2\pi k \le \frac{2x}{3} \le \pi + 2\pi k $</p><p>Чтобы найти $ x $, умножим все части двойного неравенства на $ \frac{3}{2} $:</p><p>$ 2\pi k \cdot \frac{3}{2} \le \frac{2x}{3} \cdot \frac{3}{2} \le (\pi + 2\pi k) \cdot \frac{3}{2} $</p><p>$ 3\pi k \le x \le \frac{3\pi}{2} + 3\pi k $</p><p><strong>Ответ:</strong> $ x \in [3\pi k; \frac{3\pi}{2} + 3\pi k] $, где $ k \in \mathbb{Z} $.</p><p><strong>б)</strong> $ \cos \frac{x}{6} < 0 $</p><p>Рассмотрим свойство функции $ y = \cos t $. Эта функция принимает отрицательные значения ($ \cos t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \frac{\pi}{2} $ до $ \frac{3\pi}{2} $. С учетом периода функции косинус, равного $ 2\pi $, общее решение для аргумента $ t $ имеет вид:</p><p>$ \frac{\pi}{2} + 2\pi k < t < \frac{3\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Произведем обратную замену $ t = \frac{x}{6} $:</p><p>$ \frac{\pi}{2} + 2\pi k < \frac{x}{6} < \frac{3\pi}{2} + 2\pi k $</p><p>Для нахождения $ x $ умножим все части неравенства на $ 6 $:</p><p>$ (\frac{\pi}{2} + 2\pi k) \cdot 6 < \frac{x}{6} \cdot 6 < (\frac{3\pi}{2} + 2\pi k) \cdot 6 $</p><p>$ 3\pi + 12\pi k < x < 9\pi + 12\pi k $</p><p><strong>Ответ:</strong> $ x \in (3\pi + 12\pi k; 9\pi + 12\pi k) $, где $ k \in \mathbb{Z} $.</p><p><strong>в)</strong> $ \sin 3x < 0 $</p><p>Функция $ y = \sin t $ принимает отрицательные значения ($ \sin t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \pi $ до $ 2\pi $. Учитывая периодичность, общее решение для $ t $ будет:</p><p>$ \pi + 2\pi k < t < 2\pi + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Сделаем обратную замену $ t = 3x $:</p><p>$ \pi + 2\pi k < 3x < 2\pi + 2\pi k $</p><p>Чтобы найти $ x $, разделим все части двойного неравенства на $ 3 $:</p><p>$ \frac{\pi + 2\pi k}{3} < x < \frac{2\pi + 2\pi k}{3} $</p><p>$ \frac{\pi}{3} + \frac{2\pi k}{3} < x < \frac{2\pi}{3} + \frac{2\pi k}{3} $</p><p><strong>Ответ:</strong> $ x \in (\frac{\pi}{3} + \frac{2\pi k}{3}; \frac{2\pi}{3} + \frac{2\pi k}{3}) $, где $ k \in \mathbb{Z} $.</p><p><strong>г)</strong> $ \cos 2x \ge 0 $</p><p>Функция $ y = \cos t $ принимает неотрицательные значения ($ \cos t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ -\frac{\pi}{2} $ до $ \frac{\pi}{2} $, включая концы. С учетом периода $ 2\pi $ общее решение для $ t $ будет:</p><p>$ -\frac{\pi}{2} + 2\pi k \le t \le \frac{\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.</p><p>Произведем обратную замену $ t = 2x $:</p><p>$ -\frac{\pi}{2} + 2\pi k \le 2x \le \frac{\pi}{2} + 2\pi k $</p><p>Для нахождения $ x $ разделим все части неравенства на $ 2 $:</p><p>$ \frac{-\frac{\pi}{2} + 2\pi k}{2} \le x \le \frac{\frac{\pi}{2} + 2\pi k}{2} $</p><p>$ -\frac{\pi}{4} + \pi k \le x \le \frac{\pi}{4} + \pi k $</p><p><strong>Ответ:</strong> $ x \in [-\frac{\pi}{4} + \pi k; \frac{\pi}{4} + \pi k] $, где $ k \in \mathbb{Z} $.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1108362" "type" => "task" ] "previous" => 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null "field_tasks_count" => "1291" "field_priority" => "4" "field_default_folder" => "/algebra_09/soltan-u19/" "field_isbn" => "978-601-317-424-2" "field_cover" => array:1 [ 0 => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/algebra_09/soltan-u19/covers/cover1.webp?ts=1752140452" "alt" => "" "width" => "1940" "height" => "2895" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1164 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1165 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1166 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1167 #items: [] 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#casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1168 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1180 #items: array:1 [ 0 => App\Models\Element {#1169 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1261075 "created_at" => "2026-04-10 13:58:26" 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#touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1097925" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1097923" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1481 #items: array:6 [ 0 => App\Models\Task {#1493 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108361 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-626" "field_display_title" => "626" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1497 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1496 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1531 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1564 #items: array:2 [ …2] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1541 #items: array:3 [ …3] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1108362" "type" => "task" ] "previous" => array:2 [ "refs" => "1108360" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1538 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #original: array:24 [ "id" => 1108361 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-626" "field_display_title" => "626" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1497} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1496} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1531} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1564} "content" => Illuminate\Database\Eloquent\Collection {#1541} "next" => array:2 [ "refs" => "1108362" "type" => "task" ] "previous" => array:2 [ "refs" => "1108360" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1538} "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#1542 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108362 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-627" "field_display_title" => "627" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1539 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1536 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1537 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1534 #items: array:2 [ …2] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1596 #items: array:3 [ …3] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1108363" "type" => "task" ] "previous" => array:2 [ "refs" => "1108361" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1597 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ 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Illuminate\Database\Eloquent\Collection {#1597} "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#1595 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108363 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-628" "field_display_title" => "628" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1598 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Illuminate\Database\Eloquent\Collection {#1628} "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1626 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108364 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-629" "field_display_title" => "629" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1629 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"refs" => "1097924" "type" => "book_page" ] ] #original: array:24 [ "id" => 1108364 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-629" "field_display_title" => "629" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1629} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1630} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1631} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1632} "content" => Illuminate\Database\Eloquent\Collection {#1658} "next" => array:2 [ "refs" => "1108365" "type" => "task" ] "previous" => array:2 [ "refs" => "1108363" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1659} "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#1657 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108365 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-630" "field_display_title" => "630" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1660 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Illuminate\Database\Eloquent\Collection {#1690} "page" => array:2 [ "refs" => "1097924" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 5 => App\Models\Task {#1688 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1108366 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-631" "field_display_title" => "631" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1691 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"refs" => "1097924" "type" => "book_page" ] ] #original: array:24 [ "id" => 1108366 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "182" "field_page_end" => null "field_url" => "/9-klass/algebra/kokshetau-soltan-uchebnik/1-631" "field_display_title" => "631" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1691} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1692} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1693} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1694} "content" => Illuminate\Database\Eloquent\Collection {#1720} "next" => array:2 [ "refs" => "1108367" "type" => "task" ] "previous" => array:2 [ "refs" => "1108365" "type" => "task" ] "book" => 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[] #guarded: array:1 [ 0 => "*" ] }
№626 (с. 182)
Условие. №626 (с. 182)
скриншот условия
626. Используя свойства функции $y = \sin x$ или $y = \cos x$, найдите значения $x$, удовлетворяющие условию:
а) $\sin \frac{2x}{3} \ge 0;$
в) $\sin 3x < 0;$
б) $\cos \frac{x}{6} < 0;$
г) $\cos 2x \ge 0.$
Решение. №626 (с. 182)
Решение 2 (rus). №626 (с. 182)
а) $ \sin \frac{2x}{3} \ge 0 $
Для решения этого неравенства воспользуемся свойством функции $ y = \sin t $. Эта функция принимает неотрицательные значения ($ \sin t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ 0 $ до $ \pi $, включая концы. С учетом периодичности функции синус (период $ 2\pi $), общее решение для аргумента $ t $ будет:
$ 2\pi k \le t \le \pi + 2\pi k $, где $ k \in \mathbb{Z} $.
Сделаем обратную замену $ t = \frac{2x}{3} $:
$ 2\pi k \le \frac{2x}{3} \le \pi + 2\pi k $
Чтобы найти $ x $, умножим все части двойного неравенства на $ \frac{3}{2} $:
$ 2\pi k \cdot \frac{3}{2} \le \frac{2x}{3} \cdot \frac{3}{2} \le (\pi + 2\pi k) \cdot \frac{3}{2} $
$ 3\pi k \le x \le \frac{3\pi}{2} + 3\pi k $
Ответ: $ x \in [3\pi k; \frac{3\pi}{2} + 3\pi k] $, где $ k \in \mathbb{Z} $.
б) $ \cos \frac{x}{6} < 0 $
Рассмотрим свойство функции $ y = \cos t $. Эта функция принимает отрицательные значения ($ \cos t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \frac{\pi}{2} $ до $ \frac{3\pi}{2} $. С учетом периода функции косинус, равного $ 2\pi $, общее решение для аргумента $ t $ имеет вид:
$ \frac{\pi}{2} + 2\pi k < t < \frac{3\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.
Произведем обратную замену $ t = \frac{x}{6} $:
$ \frac{\pi}{2} + 2\pi k < \frac{x}{6} < \frac{3\pi}{2} + 2\pi k $
Для нахождения $ x $ умножим все части неравенства на $ 6 $:
$ (\frac{\pi}{2} + 2\pi k) \cdot 6 < \frac{x}{6} \cdot 6 < (\frac{3\pi}{2} + 2\pi k) \cdot 6 $
$ 3\pi + 12\pi k < x < 9\pi + 12\pi k $
Ответ: $ x \in (3\pi + 12\pi k; 9\pi + 12\pi k) $, где $ k \in \mathbb{Z} $.
в) $ \sin 3x < 0 $
Функция $ y = \sin t $ принимает отрицательные значения ($ \sin t < 0 $), когда ее аргумент $ t $ находится в промежутке от $ \pi $ до $ 2\pi $. Учитывая периодичность, общее решение для $ t $ будет:
$ \pi + 2\pi k < t < 2\pi + 2\pi k $, где $ k \in \mathbb{Z} $.
Сделаем обратную замену $ t = 3x $:
$ \pi + 2\pi k < 3x < 2\pi + 2\pi k $
Чтобы найти $ x $, разделим все части двойного неравенства на $ 3 $:
$ \frac{\pi + 2\pi k}{3} < x < \frac{2\pi + 2\pi k}{3} $
$ \frac{\pi}{3} + \frac{2\pi k}{3} < x < \frac{2\pi}{3} + \frac{2\pi k}{3} $
Ответ: $ x \in (\frac{\pi}{3} + \frac{2\pi k}{3}; \frac{2\pi}{3} + \frac{2\pi k}{3}) $, где $ k \in \mathbb{Z} $.
г) $ \cos 2x \ge 0 $
Функция $ y = \cos t $ принимает неотрицательные значения ($ \cos t \ge 0 $), когда ее аргумент $ t $ находится в промежутке от $ -\frac{\pi}{2} $ до $ \frac{\pi}{2} $, включая концы. С учетом периода $ 2\pi $ общее решение для $ t $ будет:
$ -\frac{\pi}{2} + 2\pi k \le t \le \frac{\pi}{2} + 2\pi k $, где $ k \in \mathbb{Z} $.
Произведем обратную замену $ t = 2x $:
$ -\frac{\pi}{2} + 2\pi k \le 2x \le \frac{\pi}{2} + 2\pi k $
Для нахождения $ x $ разделим все части неравенства на $ 2 $:
$ \frac{-\frac{\pi}{2} + 2\pi k}{2} \le x \le \frac{\frac{\pi}{2} + 2\pi k}{2} $
$ -\frac{\pi}{4} + \pi k \le x \le \frac{\pi}{4} + \pi k $
Ответ: $ x \in [-\frac{\pi}{4} + \pi k; \frac{\pi}{4} + \pi k] $, где $ k \in \mathbb{Z} $.
Другие задания:
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