Solve the Equation for Solutions in the Interval [0°, 360°) $\sin 2 \theta = \cos \theta$

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

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) $\left\{ 15 ^ { \circ } , 165 ^ { \circ } , 195 ^ { \circ } , 345 ^ { \circ } \right\}$