Question

How do you graph the polar equation `r=3+3costheta`?

Answer 1

`(x^2+y^2-3x)^2=9x^2+9y^2`

Explanation:

Multiply each term by `r` to get:
`r^2=3r+3rcostheta`

`r=sqrt(x^2+y^2)`
`rcostheta=x`

`x^2+y^2=3sqrt(x^2+y^2)+3x`

`(x^2+y^2-3x)^2=9x^2+9y^2`