Question

How do you convert `5x=5y` to polar form?

Answer 1

`5x=5y` in polar form is `theta=pi/4`

Explanation:

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

`x=rcostheta` and `y=rsintheta`

Hence `5x=5y` in polar form can be written as

`5rcostheta=5rsintheta`

or `costheta=sintheta`

or `tantheta=1`