Решите уравнение sin5x=sinx

Question

Решите уравнение sin5x=sinx

Answer 1

sin 5*x - sin x = 0

2 * sin 2*x * cos 3*x = 0

1)  sin 2*x = 0              2)  cos 3*x = 0

      2*x = π * n                 3*x = π/2 + π * n

      x = π * n / 2               x = π/6 + π * n / 3