Question

Помогите пожалуйста,ОЧЕНЬ срочно!!!!Прошу,помогите!!!!!Пожалуйста!!!!!

Answer 1

$1)\; ctg(4x-\frac{\pi}{4}) \geq 1\\\\0+\pi n\ \textless \ 4x-\frac{\pi}{4} \leq \frac{\pi}{4}+\pi n\; ,\\\\\frac{\pi}{4}+\pi n\ \textless \ 4x \leq \frac{\pi}{2}+\pi n\; ,\\\\\frac{\pi}{16}+\frac{\pi n}{4}\ \textless \ x \leq \frac{\pi}{8}+\frac{\pi n}{4}\; ,\; n\in Z\\\\x\in (\frac{\pi}{16}+\frac{\pi n}{4}\; ;\; \frac{\pi}{8}+\frac{\pi n}{4}\, ]$

$2)\; sin(3x+\frac{3\pi }{4}) \leq \frac{\sqrt2}{2}\\\\ -\frac{5\pi }{4}+2\pi n \leq 3x+\frac{3\pi }{4} \leq \frac{\pi}{4}+2\pi n\; ,\\\\-2\pi +2\pi n \leq 3x \leq -\frac{\pi }{2}+2\pi n\; ,\\\\ \frac{-2\pi }{3}+ \frac{2\pi n}{3} \leq x \leq -\frac{\pi}{6}+\frac{2\pi n}{3}\; ,\; n\in Z\\\\x\in [\, -\frac{2\pi }{3}+\frac{2\pi n}{3}\; ;\; -\frac{\pi}{6}+\frac{2\pi n}{3}\, ]$