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Expert-verified Found in: Page 593 ### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508 # Polar Equations to Rectangular Equations Convert the polar equation to rectangular coordinates $\theta =\pi$

The rectangular equation is$y=0$

See the step by step solution

## Step 1. Given information

An equation is given in polar coordinate system as$\theta =\pi$

## Step 2. Concept used

Use formulas and replace the value in them to convert to a rectangular coordinate system. Simplify them, and you'll get the solution. In the rectangukar coordinate system, it will provide a curve.

## Step 3. Calculation

Formulae used,

$\theta ={\mathrm{tan}}^{-1}\left(\frac{y}{x}\right)$

Substitute the values in the formulae,

$\begin{array}{l}⇒\theta =\pi \\ ⇒\mathrm{tan}\theta =\mathrm{tan}\pi \\ ⇒\frac{y}{x}=\\ ⇒y=0\end{array}$

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