QuestionFind all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\csc \theta = \frac{2 \sqrt{3}}{3}$.

Studdy Solution
Now we need to find the values of $\theta$ in the interval $\left[0^{\circ},360^{\circ}\right)$ for which $\sin \theta = \frac{\sqrt{3}}{2}$.
From the unit circle, we know that $\sin \theta = \frac{\sqrt{3}}{2}$ when $\theta =60^{\circ}$ or $\theta =120^{\circ}$.
So, the solutions to the equation are $\theta =60^{\circ}$ and $\theta =120^{\circ}$.