Question

How can (4, -7) be converted into polar coordinates?

Answer 1

`(sqrt65 , -tan^-1 (7/4))`

Explanation:

It is `x=4= rcos theta` and `y= -7= r sin theta`

Squaring and adding would give `r^2=65`; `r=sqrt65`

Division would give `tan theta= (-7)/4`, `theta= -tan^(-1) (7/4)`

(4, -7) would be `(sqrt65 , -tan^-1 (7/4))`