Answer
300$^{\circ}$
240$^{\circ}$
Work Step by Step
1) $\sin$$\theta$ = -$\frac{\sqrt 3}{2}$
2) Since $\sin$$\theta$ is negative, $\theta$ lies in either 3rd or 4th quadrant.
3)The reference angle is 60 $^{\circ}$ since absolute value of the sin $\theta$ is 60$^{\circ}$
4)The angle in quadrant 3 is 180$^{\circ}$ + 60$^{\circ}$ =240$^{\circ}$
5)The angle in quadrant 4 is 360$^{\circ}$ - 60$^{\circ}$ =300$^{\circ}$
