sin 6x - sin 4x = 0

Question

sin 6x - sin 4x = 0

Answer 1

2sin((6x-4x)/2)cos((6x+4x)/2)=0
sinxcos5x=0
sinx=0
x=Пк, k∈Z
cos5x=0
5x=П/2+Пn
x=П/10+Пn/5  n∈Z