Solve the Equation for Solutions in the Interval [0°, 360°) $\cos 2 \theta = \frac { \sqrt { 3 } } { 2 }$

Solve the equation for solutions in the interval [0°, 360°) . Round to the nearest degree.
- $\cos 2 \theta = \frac { \sqrt { 3 } } { 2 }$

A) $\left\{ 105 ^ { \circ } , 165 ^ { \circ } , 285 ^ { \circ } , 345 ^ { \circ } \right\}$
B) $\left\{ 0 ^ { \circ } , 120 ^ { \circ } , 180 ^ { \circ } , 240 ^ { \circ } \right\}$
C) $\left\{ 30 ^ { \circ } , 90 ^ { \circ } , 150 ^ { \circ } , 270 ^ { \circ } \right\}$
D) $\left\{ 15 ^ { \circ } , 165 ^ { \circ } , 195 ^ { \circ } , 345 ^ { \circ } \right\}$

Correct Answer:

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