Answer
The point in rectangular coordinates is $(-5,0)$
Work Step by Step
$(5,5\pi)$
The point has $r=5$ and $\theta=5\pi$. The formulas for converting polar to rectangular coordinates are $x=r\cos\theta$ and $y=r\sin\theta$
Substitute the known values into the formula to obtain $x$ and $y$:
$x=r\cos\theta$
$x=(5)\cos(5\pi)=(5)(-1)=-5$
$y=r\sin\theta$
$y=(5)\sin(5\pi)=(5)(0)=0$
The point in rectangular coordinates is $(-5,0)$
