Question

Решите пожалуйста срочно.

Answer 1

$1)\ \ sin\dfrac{x}{2}\geq \dfrac{1}{2}\\\\\dfrac{\pi}{6}+\2\pi n\leq \dfrac{x}{2}\leq \dfrac{5\pi }{6}+2\pi n\ ,\ \ \ \ \dfrac{\pi}{3}+2\pi n\leq x\leq \dfrac{5\pi }{3}+2\pi n\ \ ,\ n\in Z$

$2)\ \ cos6x\leq \dfrac{1}{2}\\\\\dfrac{\pi }{3}+2\pi n\leq 6x\leq \dfrac{5\pi }{3}+2\pi n\ \ ,\ \ \ \ \dfrac{\pi}{18}+\dfrac{\pi n}{3}\leq x\leq \dfrac{5\pi }{18}+\dfrac{\pi n}{3}\ \ ,\ \ n\in Z$

$3)\ \ sin\dfrac{\pi }{3}=\dfrac{\sqrt3}{2}\ \ \ \Rightarrow \ \ \ M\Big(\ 0\ ;\ \dfrac{\sqrt3}{2}\ \Big)$