Question

How do you convert `r = 2sint` into a rectangular equation?

Answer 1

`x^2+y^2-2y=0`

Explanation:

Multiply both sides by `r`:

`r^2 = 2rsin(t)`.

Since `r=sqrt(x^2+y^2)` and `y=rsin(t)`, the equation becomes

`x^2+y^2 = 2y`, which you can rewrite as `x^2+y^2-2y=0`