Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.3 Polar Coordinates - Preliminary Questions - Page 617: 2


$(1,\pi/2)$ and $ (-1,-\pi/2).$

Work Step by Step

We know that the point is located at $x=0$ and $y=1$. This is the same as the point on the unit circle at 90 degrees from the origin. Thus, we know that $r=1$ and $\theta=\pi/2$. The polar representation of $(0,1)$ is $(1,\pi/2)$ and in terms of negative radial representation, it is $(-1, \pi/2-\pi)=(-1,-\pi/2).$
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