Решите уравнение 2sin (x/4)*cos(x/4)-sin^2(x) =cos^2 (x)

Question

Решите уравнение
2sin (x/4)*cos(x/4)-sin^2(x) =cos^2 (x)

Answer 1

2sin(x/4)cos(x/4)=sin(x/2)
sin²x+cos²x=1
sinx/2=1    x/2=π/2+2πk    x=π+4πk    k∈Z