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: 5


The required solution is False.

Work Step by Step

The given statement shows that the equation of $\tan 3x=1$ is indicates the value of $x=\frac{\pi }{4}+n\pi $. The computation is incorrect because the value of x is different as shown below: $\begin{align} & \tan 3x=1=\tan \frac{\pi }{4} \\ & 3x=\frac{\pi }{4}+n\pi \\ & x=\frac{\pi }{12}+\frac{n\pi }{3} \\ \end{align}$
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