Предмет: Алгебра, автор: instadiava

sin 5х + 3 cos 5х =0 Решите на листочке и не через ФОТОМАТЧ

Ответы

Автор ответа: NNNLLL54

Ответ:

$sin5x+3cos5x=0\ \Big|:cos5x\ne 0\\\\tg5x+3=0\\\\tg5x=-3\\\\5x=-arctg3+\pi n\ ,\ n\in Z\\\\x=-\dfrac{1}{5}\, arctg3+\dfrac{\pi n}{5}\ ,\ n\in Z$

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