Question

What is the polar form of `( 0,-2 )`?

Answer 1

`(2, 3pi/2)`

Explanation:

x = r cos `theta` = 0.
As both x and y are not 0, r is not 0.
So, cos `theta` = 0. `theta=pi/2 or 3pi/2`.

r sin `theta` = `-2`.
sin `theta =+-1`. So, r =`=2 or-2`.
Both are one and the same point It is a better convention to keep r`>=0`.
Answer `(2, 3pi/2) or (-2, pi/2)`