# Find all the values of theta on the interval [0,2pi) that satisfy the equation: sin(theta) = -1/2 ?

$\frac{7 \pi}{6} , \frac{11 \pi}{6}$
$\sin \left(\theta\right)$ is the y-coordinate of the point on the unit circles. If you examine those points, you will find $\sin \left(\theta\right) = - \frac{1}{2}$ at $\frac{7 \pi}{6}$ and $\frac{11 \pi}{6}$