Предмет: Математика, автор: Denoms

Найдите значение выражения: 2 arcsin + arctg(-1) + arccos.
Помогите пожалуйста, я в математике полный 0.

Ответы

Автор ответа: smidt7911
0

Пошаговое объяснение:

Для решения данного выражения нам понадобятся значения функций арксинуса, арктангенса и арккосинуса.

Значение арксинуса (arcsin) лежит в диапазоне от -π/2 до π/2, то есть от -90 градусов до 90 градусов.

Значение арктангенса (arctg) лежит в диапазоне от -π/2 до π/2, то есть от -90 градусов до 90 градусов.

Значение арккосинуса (arccos) лежит в диапазоне от 0 до π, то есть от 0 градусов до 180 градусов.

Теперь подставим значения в выражение:

2 * arcsin + arctg(-1) + arccos

2 * arcsin(1) + arctg(-1) + arccos(0)

Значение arcsin(1) равно π/2, так как arcsin(1) = 90 градусов.

Значение arctg(-1) равно -π/4, так как arctg(-1) = -45 градусов.

Значение arccos(0) равно π/2, так как arccos(0) = 90 градусов.

Подставим значения в исходное выражение:

2 * (π/2) + (-π/4) + (π/2)

π + (-π/4) + π/2

Общий знаменатель: 4

(4π + (-π) + 2π) / 4

5π / 4

Ответ: 5π / 4

Приложения:
Denoms: Можете написать на листочке. Дано, решение, ответ. Пожалуйста.
smidt7911: хорошою сек
Denoms: Спасибо большое
Denoms: Переписывать так как написано в листочке? Дано, решение писать не нужно?
smidt7911: ну вот так написано в моей супер матиматической книге
Denoms: Спасибо большое, выручили)
Denoms: Извините, вы не могли бы посмотреть еще одно задание , в профиле у меня.
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