Trigonometry (10th Edition)

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

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 259: 77

Answer

$tan(tan^{-1}~x) = x$ This graph also looks like the straight line $y=x$

Work Step by Step

Let $~~\theta = tan^{-1}~x$ Then $~~tan~\theta = x$ Therefore, $tan(tan^{-1}~x) = tan~\theta = x$ This graph also looks like the straight line $y=x$
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