Question

How do you write the cartesian equation for `r=1+3sinx`?

Answer 1

As below.

Explanation:

`r = 1 + 3 sin theta`

`x = r cos theta, y = r sin theta, r = sqrt(x^2 + y^2)`

`sqrt(x^2 + y^2) = 1 + 3 * y/sqrt(x^2 + y^2)`

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