Предмет: Математика, автор: kirovsasha1984

tg0,5x=1 решите пожалуйста!

Ответы

Автор ответа: daniilzhulanov

$tg(0.5x)=1\\0.5x=\frac{\pi }{4} + \pi n\\x= \frac{1}{2} (\frac{\pi }{4} + \pi n)\\x = \frac{\pi }{8} +\frac{\pi }{2} n$ , n ∈Z

daniilzhulanov: Простите, там необходимо во второй строчке умножить, а не разделить. Тогда ответ получится x=pi/2+2pin, n in Z

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