Question

Решить уравнение
Sin2 x=cos x

Answer 1

Решение
sin2x = cosx
2sinx*cosx - cosx = 0
cosx*(2sinx - 1 ) = 0
1) cosx = 0 
x = π/2 + πk, k ∈ Z
2)  2sinx - 1 = 0
sinx = 1/2
x = (-1)^n* arcsin(1/2) + πn, n ∈ Z
x = (-1)^n* (π/6) + πn, n ∈ Z