# How do you convert y = -4 to polar form?

Aug 10, 2016

$r = - 4 \csc \theta$

#### Explanation:

Using $\textcolor{b l u e}{\text{cartesian to polar conversion}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{x = r \cos \theta , y = r \sin \theta} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow r \sin \theta = - 4$

$\Rightarrow r = \frac{- 4}{\sin \theta} = - 4 \csc \theta$