Question

How do you convert `r = -4csc(theta)` into cartesian form?

Answer 1

`y=-4`

Explanation:

`(x, y)=(r cos theta, r sin theta)`. So,

`r = y csc theta=--4 csc theta`.

As `csc theta` cannot be zero, `y = -4` is the cartesian equation.

For detailed discussion on such equations, see

https://socratic.org/questions/how-do-you-convert-r-2-csc-theta-to-rectangular-form#640048