Answer
The point $(x,y)$ has coordinates $(2,0 )$ in the rectangular coordinate system.
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 $r= 2$ and $ \theta= -180^{\circ}$
Plug these values in equation (1) to obtain:
$x=(-2) \cos(-180^{\circ})=(-2)(-1)=2 \\
y=(-2) \sin(-180^{\circ})=0$
Therefore, the point has coordinates $(2,0 )$ in the rectangular coordinate system.
