Question

How do you convert `(4, 3pi/2)` to rectangular form?

Answer 1

`(4,(3pi)/2)` in polar coordinates is `(0,-4)` in rectangular coordinates.

Explanation:

`(r,theta)` in polar coordinates is `(rcostheta,rsintheta)` in rectangular coordinates.

Hence, `(4,(3pi)/2)` in polar coordinates in rectangular coordinates is

`(4cos((3pi)/2),4sin((3pi)/2))` or

`(4xx0,4xx(-1))` or `(0,-4)`