Question

Please help and show work and steps

Answer 1

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is $-\dfrac{\sqrt{3}}{2}$ are $\dfrac{4\pi}{3}$ and $\dfrac{5\pi}{3}$, otherwise known as $-\dfrac{\pi}{3}$. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show $-\dfrac{\sqrt{3}}{2}$.