Precalculus (6th Edition) Blitzer

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

Chapter 5 - Section 5.5 - Trigonometric Equations - Concept and Vocabulary Check - Page 703: 4


The required solution is True.

Work Step by Step

The given statement shows that the equation of $\cos \frac{x}{3}=\frac{1}{2}$ indicates that $\frac{x}{3}=\frac{\pi }{3}+2n\pi \,or\,\frac{x}{3}=\frac{5\pi }{3}+2n\pi $. Thus, this statement is true because $\frac{x}{3}$ can be written as $\frac{\pi }{3}+2n\pi $ and it can also be written as $\frac{5\pi }{3}+2n\pi $.
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