Question

How do you write the rectangular equations for `r=sin(theta)+1`?

Answer 1

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

Explanation:

`r = sin theta + 1`

using `y = r sin theta` and `r^2 = x^2 + y^2`

`r = y/r + 1`

`r^2 = y + r`

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

very ugly but not much more you can do with it