Answer
$(3.1, 0.11)$
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 $r=-3.1$ and $ \theta= 182^{\circ}$
Plug these values in equation (1) to obtain:
$x=(-3.1) \cos(182^{\circ}) \approx 3.1 \\
y=(-3.1) \sin(182^{\circ}) \approx 0.11$
Therefore, the point $(x,y)$ has coordinates $(3.1, 0.11)$ in the rectangular coordinate system.
