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

question 15

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.