Question 32 (1 point)
Given $\cos \theta=-\frac{\sqrt{3}}{2}$, determine all possible values of $\theta$, if $0 \leq \theta \leq 360^{\circ}$.
$\theta=150^{\circ}, \theta=210^{\circ}$
$\theta=120^{\circ}, \theta=240^{\circ}$
$\theta=240^{\circ}, \theta=300^{\circ}$
$\theta=330^{\circ}, \theta=210^{\circ}$

Answer

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Answer

The possible values of $\theta$ are $\boxed{150^{\circ}}$ and $\boxed{210^{\circ}}$.

Steps

Step 1 ：Given $\cos \theta=-\frac{\sqrt{3}}{2}$, determine all possible values of $\theta$, if $0 \leq \theta \leq 360^{\circ}$.

Step 2 ：The possible values of $\theta$ are $\boxed{150^{\circ}}$ and $\boxed{210^{\circ}}$.