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What is the polar equation of a horizontal line?

1 Answer

Shwetank Mauria

Apr 4, 2018

$r = c csc θ$ $r=c csctheta$

Explanation:

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

$x = r cos θ$ $x=rcostheta$ and $y = r sin θ$ $y=rsintheta$

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

Hence, in polar coordinates equation would be

$r sin θ = c$ $rsintheta=c$ or $r = c csc θ$ $r=c csctheta$

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