Question

РЕШИТЕ ПОЖАЛУЙСТА
Решить неравенство:
2cos(2x+π/4)-√3 ≤ 0​

Answer 1

Ответ:

$\displaystyle 2cos\Big(2x+\frac{\pi }{4}\Big)-\sqrt3\leq 0\\\\\\cos\Big(2x+\frac{\pi }{4}\Big)\leq \frac{\sqrt3}{2}\\\\\\\frac{\pi}{6}+2\pi n\leq \Big(2x+\frac{\pi }{4}\Big)\leq \frac{11\pi }{6}+2\pi n\ ,\ n\in Z\\\\\\-\frac{\pi}{12}+2\pi n\leq 2x\leq \frac{19\pi }{12}+2\pi n\ ,\ n\in Z\\\\\\-\frac{\pi}{6}+\pi n\leq x\leq \frac{19\pi }{12}+\pi n\ ,\ n\in Z\\\\\\x\in \Big[\ -\frac{\pi}{6}+\pi n\ ;\ \frac{19\pi }{12}+\pi n\ \Big]\ ,\ n\in Z$