Question

СРОЧНО!!! ДВА НЕРАВЕНСТВА!
Показать в единичной окружности и указать направление​

Answer 1

Ответ:

$1)\ \ sinx>\dfrac{1}{2}\\\\\\\dfrac{\pi }{6}+2\pi n<x<\dfrac{5\pi }{6}+2\pi n\ ,\ n\in Z\\\\\\x\in \Big(\ \dfrac{\pi }{6}+2\pi n\ ;\ \dfrac{5\pi }{6}+2\pi n\, \Big),\ n\in Z\\\\\\\\2)\ \ cos\Big(3x+\dfrac{\pi }{3}\Big)>-\dfrac{\sqrt3}{2}\\\\\\-\dfrac{5\pi }{6}+2\pi n<3x+\dfrac{\pi }{3}<\dfrac{5\pi }{6}+2\pi n\ ,\ n\in Z\\\\\\-\dfrac{5\pi }{6}-\dfrac{\pi}{3}+2\pi n<3x<\dfrac{5\pi }{6}-\dfrac{\pi}{3}+2\pi n\ ,\ n\in Z\\\\\\-\dfrac{7\pi}{6}+2\pi n<3x<\dfrac{3\pi }{6}+2\pi n\ ,\ n\in Z$

$-\dfrac{7\pi }{18}+\dfrac{2\pi n}{3}<x<\dfrac{\pi}{6}+\dfrac{2\pi n}{3}\ ,\ n\in Z\\\\\\x\in \Big(-\dfrac{7\pi}{18}+\dfrac{2\pi n}{3}\ ;\ \dfrac{\pi}{6}+\dfrac{2\pi n}{3}\, \Big)\ ,\ n\in Z$