Sinx( 5 cosx +2)=cosx(5sinx+2)

Question

Sinx( 5 cosx +2)=cosx(5sinx+2)

Answer 1

5sinxcosc + 2sinx = 5cosxsinx + 2cosx
5sinxcosx - 5cosxsinx = 2sinx + 2cosx
0 = 2sinx + 2cosx | : 2cosx
0 = 2sinx/2cosx + 2cosx/2cosx
0 = tgx
x= 0