Question

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

Answer 1

`r = tan theta sec theta`

Explanation:

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

`r sin theta = (r cos theta)^2 = r^2 cos^2 theta`

`sin theta = r cos^2 theta`

`r = (sin theta)/(cos^2 theta) = tan theta sec theta`