( 1 - 8 sin x/3 cos 2/3 ) =0

Question

( 1 - 8 sin x/3 cos 2/3 ) =0

Answer 1

(1-8sin x/3 cos x/3)=0
-4*2sin x/3 cos x/3=-1
sin(2x/3)=1/4
2x/3=(-1)^n arcsin(1/4) +πn, n-celoe
x=(-1)^n *(3/2arcsin1/4) +3/2 *πn