Sin2x=sinx

Question

Sin2x=sinx

Answer 1

2sinxcosx=sinx,  2sinxcosx-sinx=0,  sinx(2cosx-1)=0,

sinx=0, x=Пk

2cosx-1=0, 2cosx=1, cosx=1/2,  x=+-П/3+2Пk