# What is the polar equation of a horizontal line?

Apr 4, 2018

$r = c \csc \theta$

#### Explanation:

The relation between polar coordinates $\left(r , \theta\right)$ and Cartesian coordinates $\left(x , y\right)$ is given by

$x = r \cos \theta$ and $y = r \sin \theta$

The equation of a horizontal line is of the form $y = c$, where $c$ is $y$-intercept, a constant.

Hence, in polar coordinates equation would be

$r \sin \theta = c$ or $r = c \csc \theta$