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Автор - Зая1441

Помогите пожалуйста срочно!!!

Ответ

Проверено экспертом

Автор - sangers1959

Ответ: cosa=-2√6/5.

Пошаговое объяснение:

sina=1/5    (π/2;π)     cosa=?

sin²a+cos²a=1  ⇒

cos²a=1-sin²a=1-(1/5)²=1-(1/25)=24/25

cosa=√(24/25)=√(4*6/26)=±2√6/5

Согласно условию задачи а∈х(π/2;π).    ⇒

cosa=-2√6/5.

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