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: 3



Work Step by Step

The given statement shows that $3x=\frac{\pi }{4}+n\pi $. By using the transportation method, the value of x is computed as given below: $\begin{align} & 3x=\frac{\pi }{4}+n\pi \\ & x=\frac{\pi +4n\pi }{4}\times \frac{1}{3} \\ & =\frac{\pi +4n\pi }{12} \end{align}$ But the value given in the case is $\frac{\pi }{12}+n\pi $. Thus, the given statement is false.
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