Question

решите уравнение sin(п/2+2х)=sinx

Answer 1

$cos(2x) = sin(x) \ 1 - 2 { sin(x) }^{2} = sin(x) \ 1 - { sin(x) }^{2} - sin(x) = 0 \ 1 - 2 {t}^{2} - t = 0 \ t = frac{1}{2} \ t = - 1 \ sin(x) = frac{1}{2} \ sin(x) = - 1$