Question

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

Answer 1

`color(crimson)((r, theta) = (3, -pi/2)`

Explanation:

`(x,y) = (0, -3)`

`"Conversion from Cartesian to Polar form"`

`r = |sqrt(x^2 + y^2)| = |sqrt (0^2 + -3^2)| = 3`

`theta = arctan (y/x) = arctan (-3/0) = -90^@ " or " -pi/2`