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

Solve the equation in the interval [0°, 360°) . Give solutions to the nearest tenth, if necessary.
- $2 \cos ^ { 3 } \theta = \cos \theta$

A) $\left\{ 45 ^ { \circ } , 135 ^ { \circ } , 225 ^ { \circ } , 315 ^ { \circ } \right\}$
B) $\left\{ 90 ^ { \circ } , 270 ^ { \circ } \right\}$
C) $\left\{ 45 ^ { \circ } , 90 ^ { \circ } , 135 ^ { \circ } , 225 ^ { \circ } , 270 ^ { \circ } , 315 ^ { \circ } \right\}$
D) $\varnothing$

Correct Answer:

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