Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 591: 6

Answer

True

Work Step by Step

True, in polar coordinates $(r,\theta)$, it is possible for $r$ to be negative. This can happen when the point on the ray from the pole extends in the direction opposite the terminal side of $\theta$ at a distance $|r|$ units from the pole.
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