Предмет: Алгебра, автор: НиколайЛаврик

Помогите пожалуйста с решением задачи вычислить в градусах arccos(-sin(-130°))

Ответы

Автор ответа: mukus13

$arccos(-sin(-130^\circ ))=arccos(sin130^\circ )=arccos(sin(90^\circ +40^\circ ))=$ $arccos(cos40^\circ )=40^\circ$

Автор ответа: artalex74

$arccos(sin\ x)=90^o-arcsin(sin\ x) \\ T.k.\ 90^o\ \textless \ 130^o\ \textless \ 180^o,\ mo \\ arccos(sin\ 130^o)=90^o-arcsin(sin\ 130^o)=90^o-(180^o-130^o)=40^o$

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