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

Question

asked Apr 17, 2023 195k views

1 Answer

SNiCKY · Answer 1 · 2023-04-23T18:54:48+0000

Step-by-step explanation

Conversion from polar coordinates to rectangular coordinates is simple:

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

Therefore, we have:

$x=−2cos((3\pi)/(2))=0$
$y=-2\sin((3\pi)/(2))=2$

In conclusion, the solution is (0,2)