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

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

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

Correct Answer:

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