Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
- $$\sin \frac { x } { 2 } + \cos \frac { x } { 2 } = 0$$

A) $\left\{ \frac { 3 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}$
B) $\left\{ \frac { 3 \pi } { 2 } \right\}$
C) $\left\{ \frac { \pi } { 2 } \right\}$
D) $\{ 0 , \pi \}$