Question

How do you convert `r=sin(theta)+1` to rectangular form?

Answer 1

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

Explanation:

Multiply each term by `r`:
`r^2=rsintheta+r`

`r^2=x^2+y^2`
`rsintheta=y`

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

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