Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 730: 17


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

Work Step by Step

As we are given that $x+y=2$ To convert this equation into polar equation, 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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