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

Multiple Choice

Solve the equation for exact solutions over the interval [0, 2 $$[ 0,2 \pi ) .$$
- $\cos ^ { 2 } x + 2 \cos x + 1 = 0$

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