Question

given the polar coordinates (-2,3pi/2) the following rectangular coordinate pairs represents the same point

Answer 1

EXPLANATION

Conversion from polar coordinates to rectangular coordinates is simple:

$x=ρcos\left(θ\right)$$y=ρsin\left(θ\right)$

Therefore, we have:

$x=−2cos(\frac{3\pi}{2})=0$$y=-2\sin(\frac{3\pi}{2})=2$

In conclusion, the solution is (0,2)