Determine All of the Solutions in the Interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$

Multiple Choice

Determine all of the solutions in the interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$ . $\tan 2 \theta = - \frac { \sqrt { 3 } } { 3 }$

A) $\theta \approx 75 ^ { \circ }$ , and $\theta \approx 105 ^ { \circ }$
B) $\theta \approx 195 ^ { \circ }$ , and $\theta \approx 165 ^ { \circ }$
C) $\theta \approx 75 ^ { \circ }$ , and $\theta \approx 165 ^ { \circ }$
D) $\theta \approx 15 ^ { \circ }$ , and $\theta \approx 105 ^ { \circ }$
E) $\theta \approx 150 ^ { \circ }$ , and $\theta \approx 330 ^ { \circ }$
F) $$\theta \approx 195 ^ { \circ } \quad, and \quad \theta \approx 285 ^ { \circ }$$

G) no solution.