Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 742: 19

Answer

Please see below.
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Work Step by Step

To plot the point $(r, \theta )=(-2, -\frac{\pi }{2} )$, begin with the $-\frac{\pi }{2}$ angle. Because $-\frac{\pi }{2}$ is a negative angle, draw $\theta = -\frac{\pi }{2}$ clockwise from the polar axis. Now consider $r=-2$. Because $r \lt 0$, plot the point by going out two units along the ray opposite the terminal side of $\theta$.
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