Question

Решите уравнение

$\sqrt{2} cos^{2} 5x=cos5x$

Answer 1

cos(5x)=0
или cos(5x)√2=1 cos(5x)=1/√2

5x = ±π/2+2πk
5x = ±π/4+2πn
k, n - целые
x = ±0.1π + 0.4πk
x = ±0.05π + 0.4πn

Answer 2

Решение задания приложено