Question

How do you convert `(0,4)` to polar form?

Answer 1

This is a special case. Please see the explanation.

Explanation:

The x coordinate is zero so you cannot use `theta = tan^-1(y/x)`; you just need to know that this is a special case and the angle is `pi/2`.

You can still use `r = sqrt(x^2 + y^2)` but it is easier to visualize that the radius is the same as the y coordinate:

The polar form is `(4, pi/2)`