Question

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

Answer 1

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)