Sin x*sin 5x-sin в квадрате 5x=0

с решением

Sinx Sin5x - Sin² 5x = 0

Sin 5x (Sinx - Sin 5x) = 0

Sin5x = 0 или Sinx - Sin 5x = 0

5x = πn, n∈Z 2Sin3xCos2x = 0

x=πn/5, n∈Z Sin3x = 0 Sin2x = 0

3x = πm, m∈Z 2x = πk, k∈Z

x = πm/3, m∈Z x = πk/2, k ∈Z