Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Review Exercises - Page 284: 4

Answer

true

Work Step by Step

RECALL: The tangent function's range is the set of all real numbers. This means that $\tan^{-1}{x}$ will always be defined for any value of $x$. Since t$\tan{x}$ and $\tan^{-1}{x}$ are inverse functions of each other, then $\tan{(\tan^{-1}{x})}=x$. Therefore, the given statement is true.
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