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

Multiple Choice

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

A) $0 , \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { \pi } { 2 }$
B) $0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }$
C) $0 , \pi , \frac { 3 \pi } { 2 }$
D) $\frac { \pi } { 2 } , \frac { 3 \pi } { 2 }$