Answer
The point in rectangular coordinates is $(0,-1)$
Work Step by Step
$(-1,5\pi/2)$
The point has $r=-1$ and $\theta=\dfrac{5\pi}{2}$. The formulas for converting polar to rectangular coordinates are $x=r\cos\theta$ and $y=r\sin\theta$
Substitute the known values into the formulas to obtain $x$ and $y$:
$x=r\cos\theta$
$x=(-1)\cos\Big(\dfrac{5\pi}{2}\Big)=(-1)(0)=0$
$y=r\sin\theta$
$y=(-1)\sin\Big(\dfrac{5\pi}{2}\Big)=(-1)(1)=-1$
The point in rectangular coordinates is $(0,-1)$
