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

Jun 1, 2016

$y = - 4$

#### Explanation:

$\left(x , y\right) = \left(r \cos \theta , r \sin \theta\right)$. 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