Question

2sin2x * cos2x - 1 =0​

Answer 1

$2\sin 2x \cos 2x - 1 = 0$

$\sin 4x - 1 = 0$

$\sin 4x = 1$

$4x = \dfrac{\pi}{2} + 2\pi n, \ n \in Z \ \ \ |: 4$

$x = \dfrac{\pi}{8} + \dfrac{ \pi n}{2} , \ n \in Z$

Ответ: $x = \dfrac{\pi}{8} + \dfrac{ \pi n}{2} , \ n \in Z$