Решите уравнение 1-4sin^2(5x-п/3)=0

Question

Решите уравнение
1-4sin^2(5x-п/3)=0

Answer 1

1-4sin^2(5x-П/3)=0
sin²(5x-π/3)=1/4
sin(5x-π/3)=1/2
5x-π/3=(-1)^n π/6+πN
x=(-1)^n π/30+π/15+π/5*N
sin(5x-π/3)=-1/2
5x-π/3=(-1)^n 5π/6+πN
x=(-1)^n π/6+π/15+π/5*N