Find the Exact Solutions of the Given Equation in the Interval

Multiple Choice

Find the exact solutions of the given equation in the interval $[ 0,2 \pi )$ . $\sin x \cos 2 x + \cos x \sin 2 x = 0$

A) $x = \frac { \pi } { 2 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$
B) $x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$
C) $x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }$
D) $x = 0 , \frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }$
E) $x = 0$