Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 10 - Section 10.4 - Areas and Lengths in Polar Coordinates - 10.4 Exercises - Page 700: 41

Answer

The points of intersection are: the pole, $(\sqrt 3/2,\pi/3)$ and $(\sqrt 3/2,2\pi/3)$

Work Step by Step

$sin\theta=sin2\theta$ $sin\theta=2sin\theta cos\theta$ $sin\theta=0$ or $cos\theta =1/2$ Therefore, the points of intersection are: the pole, $(\sqrt 3/2,\pi/3)$ and $(\sqrt 3/2,2\pi/3)$
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