Find All Solutions to the Equation in the Interval [0 $\cos x = \sin 2 x$

Multiple Choice

Find all solutions to the equation in the interval [0, 2) .
- $\cos x = \sin 2 x$

A) $0 , \pi$
B) $\frac { \pi } { 2 } , \frac { 3 \pi } { 2 }$
C) $\frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 } , \frac { 3 \pi } { 2 }$
D) $0 , \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \pi$