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: 7

Answer

False

Work Step by Step

False. The polar coordinates of a point are not unique. For instance, the angle can be measured clockwise as well as counterclockwise. Similarly, the radius $r$ can be positive or negative. Thus, we can "get to the same point in different ways", so the same point can correspond to different polar coordinates.
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