Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.7 Derivatives And Integrals Involving Inverse Trigonometric Functions - Exercises Set 6.7: 51

Answer

False.

Work Step by Step

$sin^{-1}(sin(x))$ is equal to $x$ on the interval $[-1,1]$, but other real numbers outside of this interval are not equal to $x$. Graph the equation on a graphing calculator to observe that the range of values only exist between $y=-1$ and $y=1$.
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