Solve the Equation for Solutions Over the Interval [0, 2π) $$\sin \frac { x } { 2 } + \cos \frac { x } { 2 } = 0$$

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

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

Correct Answer:

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