Answer
False.
$tan~x^2=tan(x·x)$
$tan^2x=tan~x~tan~x$
Work Step by Step
Notice that $tan^2x\geq0$ for any $x$ in the domain of $tan^2x$
But, $tan(\frac{\sqrt {3\pi}}{2})^2=tan\frac{3\pi}{4}=-1\lt0$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - 7.2 - Verifying Trigonometric Identities - 7.2 Exercises - Page 521: 63
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