Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises: 17

Answer

$ r=\frac{2}{cos\theta + sin \theta}$

Work Step by Step

Given: $x+y=2$ To convert this equation into polar form, we will substitute $x=rcos\theta$ and $y=rsin \theta$ Thus, $rcos\theta + rsin \theta =2$ or $ r=\frac{2}{cos\theta + sin \theta}$
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