Question

How do you convert `(0, -3)` to polar form?

Answer 1

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

Explanation:

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

`(x,y)` in rectangular coordinates is `(sqrt(x^2+y^2),arctan(y/x))` in polar coordinates.

As such, `(0,-3)` in rectangular coordinates will be

`(sqrt(0^2+(-3)^2),arctan((-3)/0))` or

`(3,(3pi)/4)` in polar coordinates.