Question

How do you convert `x^2 = 8y` into polar form?

Answer 1

`r = 0` OR `r = (8 sin theta) / cos^2 theta`

Explanation:

`x = r cos theta, y = r sin theta`

`r^2 cos^2 theta = 8 r sin theta`

`r = 0` OR `r = (8 sin theta) / cos^2 theta`

what if `cos theta = 0`?

`r^2 0 = 8r (±1) Rightarrow r = 0`