Question

помогите решить 2sin(2х−п/4)<1

Answer 1

$2sin(2x-\dfrac{\pi}{4})<1\ \ ,\ \ \ \ sin(2x-\dfrac{\pi}{4})<\dfrac{1}{2}\ \ ,\\\\-\dfrac{7\pi}{6}+2\pi n <(2x-\dfrac{\pi}{4})<\dfrac{\pi}{6}+2\pi n\ ,\ n\in Z\\\\\\-\dfrac{11\pi }{12}+2\pi n<2x<\dfrac{5\pi }{12}+2\pi n\ ,\ n\in Z\\\\\\-\dfrac{11\pi }{24}+\pi n<x<\dfrac{5\pi }{24} +\pi n\ ,\ n\in Z$