Question

Помогите с тригонометрией :с

Answer 1

$tg \frac{2}{3x} =-1\\\\\frac{2}{3x}=-\frac{\pi}{4}+\pi n,\; n \in Z\\\\3x=\frac{2}{-\frac{\pi}{4}+\pi n}\\\\x=\frac{2}{-\frac{3\pi }{4}+3\pi n}\\\\x= \frac{8}{-3\pi +12\pi n} = \frac{8}{3\pi (4n-1)} \; ,\; n\in Z$