Answer
$(0,-4)$
Work Step by Step
The point $(x,y)$ in the rectangular coordinate system can be expressed as:
$x=r \ \cos(\theta)$, $y=r \ \sin(\theta) ...(1)$
Here, we have $r=4 $ and $ \theta=\dfrac{3 \pi}{2}$
Plug these values in equation (1) to obtain:
$x=(4) \cos(\dfrac{3 \pi}{2})=(4)(0)=0 \\
y=(4) \sin(\dfrac{3\pi}{2})=(4)(-1)=-4$
Therefore, the point has coordinates $(0,-4)$ in the rectangular coordinate system.
