Solve the Equation for Solutions in the Interval [0°, 360°) $\cos ^ { 2 } \frac { \theta } { 2 } = 1$

Solve the equation for solutions in the interval [0°, 360°) . Round to the nearest degree.
- $\cos ^ { 2 } \frac { \theta } { 2 } = 1$

A) $\left\{ 0 ^ { \circ } \right\}$
B) $\left\{ 0 ^ { \circ } , 45 ^ { \circ } , 90 ^ { \circ } , 135 ^ { \circ } , 180 ^ { \circ } , 225 ^ { \circ } , 270 ^ { \circ } \right\}$
C) $\left\{ 0 ^ { \circ } , 90 ^ { \circ } , 180 ^ { \circ } , 270 ^ { \circ } \right\}$
D) $\left\{ 33 ^ { \circ } , 57 ^ { \circ } , 123 ^ { \circ } , 147 ^ { \circ } , 213 ^ { \circ } , 237 ^ { \circ } , 303 ^ { \circ } , 327 ^ { \circ } \right\}$

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