Question

How do you write the polar equations for `4x^2y=1`?

Answer 1

`4r^3cos^2thetasintheta=1`

Explanation:

The relation between Cartesian coordinates `(x,y)` and polar coordinates `(r,theta)` is given by

`x=rcostheta` and `y=rsintheta`

Hence `4x^2y=1` can be written as

`4r^2cos^2thetaxxrsintheta=1`

or `4r^3cos^2thetasintheta=1`