Question

Помогите пожалуйста срочно

Answer 1

Ответ:

$2cos\Big(\dfrac{\pi}{4}-\dfrac{x}{2}\Big)\geq \sqrt3\ \ ,\ \ x\in (0;2\pi )\\\\\\cos\Big(\dfrac{\pi}{4}-\dfrac{x}{2}\Big)\geq \dfrac{\sqrt3}{2}\\\\\\-\dfrac{\pi}{6}+2\pi n\leq \dfrac{\pi}{4}-\dfrac{x}{2}\leq \dfrac{\pi}{6}+2\pi n\ ,\ n\in Z\\\\\\-\dfrac{5\pi}{12}+2\pi n\leq -\dfrac{x}{2}\leq -\dfrac{\pi}{12}+2\pi n\ ,\ n\in Z\\\\\\\dfrac{\pi}{12}+2\pi n\leq \dfrac{x}{2}\leq \dfrac{5\pi}{12}+2\pi n\ ,\ n\in Z\\\\\\\dfrac{\pi}{6}+4\pi n\leq x\leq \dfrac{5\pi}{6}+4\pi n\ ,\ n\in Z$

$x\in (0;2\pi ):\ \dfrac{\pi}{6}\leq x\leq \dfrac{5\pi }{6}$

целых решений на заданном интервале нет