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 - Exercise Set - Page 706: 158


The statement is false. The correct statement is “A trigonometric equation with an infinite number of solutions is not an identity”.

Work Step by Step

Let us consider a trigonometric function $\tan \theta =\frac{1}{2}$. Clearly, it has an infinite number of solutions, but it is not an identity because $\tan \theta $ can take other values as well when changing the values of $\theta $. Thus, it can be concluded that the statement is False.
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