Answer
$\text{Quadrant IV}$
Work Step by Step
$P= (x,y) \text{ is the point on the unit circle corresponding to } \theta$
We have:
$\sin{\theta} = y<0 \text{ and }\cos{\theta} = x>0$
Note that points in Quadrant IV have $y<0 \text{ and } x>0$.
Thus, $\theta \in \text{Quadrant IV}$.