Решите уравнение 1-6sin(x/8)cos(x/8)=0

Question

Решите уравнение
1-6sin(x/8)cos(x/8)=0

Answer 1

1-6sin(x/8)cos(x/8)=0
1 - 3*2sin(x/8)cos(x/8)=0
1 - 3Sinx/4 = 0
3Sinx/4 = 1
Sinx/4 = 1/4
x/4 = (-1)^n*arcSin(1/4) + nπ, n ∈Z
x = 4*(-1)^n*arcSin(1/4) + 4nπ, n ∈Z