Question

How do you convert `r=cotthetacsctheta` into cartesian form?

Answer 1

`y^2 = x`

Explanation:

you know that

`x = r cos theta`
`y =r sin theta`

and

`cot theta csc theta = cos theta / sin theta * 1 / sin theta`

so

`r = (x/r)/(y/r)*1/(y/r) = (xr)/y^2`

or `y^2 = x`