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 - True-False Quiz - Page 709: 5

Answer

TRUE

Work Step by Step

If $r$ is replaced by $-r$, because $(r,\theta)$ and $(-r,\theta)$ are the same co-ordinates on opposite sides of the pole, the polar curve will be remain: $ r=-(1-sin2\theta)=sin2\theta-1$ Hence, the given statement is true.
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