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Q54.

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Precalculus Mathematics for Calculus

Found in: Page 593

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Polar Equations to Rectangular Equations
Convert the polar equation to rectangular coordinates
$θ = π$

The rectangular equation is $y = 0$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

An equation is given in polar coordinate system as $θ = π$

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,

$θ = \tan^{- 1} (\frac{y}{x})$

Substitute the values in the formulae,

$\begin{array}{l} \Rightarrow θ = π \\ \Rightarrow \tan θ = \tan π \\ \Rightarrow \frac{y}{x} = \\ \Rightarrow y = 0 \end{array}$

It is x axis

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