Find all values of , if is in the interval [0, 360°) and has the given function value.
-$$\cos \theta = - \frac { \sqrt { 3 } } { 2 }$$
A) $210 ^ { \circ }$ and $330 ^ { \circ }$
B) $60 ^ { \circ }$ and $300 ^ { \circ }$
C) $60 ^ { \circ }$ and $120 ^ { \circ }$
D) $150 ^ { \circ }$ and $210 ^ { \circ }$

Question

Quizplus · Accepted Answer

The cosine function is negative in the second and third quadrants. The angles $150^\circ$ and $210^\circ$ have a cosine value of $-\frac{\sqrt{3}}{2}$.

Find All Values of , If Is in the Interval cos⁡θ=−32\cos \theta = - \frac { \sqrt { 3 } } { 2 }cosθ=−23​​

Find All Values of , If Is in the Interval $\cos \theta = - \frac { \sqrt { 3 } } { 2 }$