# Convert the polar equation {eq}r + \cos \theta = 3 {/eq} into a rectangular equation.

## Question:

Convert the polar equation {eq}r + \cos \theta = 3 {/eq} into a rectangular equation.

## Modification of Polar Equation into Rectangular:

The equation written in the form of variables {eq}x {/eq} and {eq}y {/eq} is called a rectangular equation.

Modify the polar equation into a rectangular equation by setting {eq}r\cos \theta =x {/eq}, {eq}r\sin \theta =y {/eq}, and {eq}r=\sqrt{{{x}^{2}}+{{y}^{2}}} {/eq}.

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Consider the equation {eq}r + \cos \theta = 3 {/eq}.

Multiply both sides of the equation by {eq}r {/eq}.

{eq}\begin{aligned} r\left( r+\cos...