Solve the Equation for Exact Solutions Over the Interval [0 $2 \sin ^ { 2 } x = \sin x$

Solve the equation for exact solutions over the interval [0, 2π) .
- $2 \sin ^ { 2 } x = \sin x$

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

Correct Answer:

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