Solve the Equation in the Interval [0°, 360°) $2 \cos 2 \theta + 7 \sin \theta = 5$

Multiple Choice

Solve the equation in the interval [0°, 360°) . Give solutions to the nearest tenth, if necessary.
- $2 \cos 2 \theta + 7 \sin \theta = 5$

A) $\left\{ 30 ^ { \circ } , 330 ^ { \circ } \right\}$
B) $\left\{ 90 ^ { \circ } , 48.6 ^ { \circ } , 131.4 ^ { \circ } \right\}$
C) $\left\{ 30 ^ { \circ } , 210 ^ { \circ } \right\}$
D) $\varnothing$