Answer
True.
Work Step by Step
If $-1\leq x \leq 1$ then $\sin{(\sin^{-1}{x})}=x$ and $\cos{(\cos^{-1}{x})}=x.$
Hence if $x=0$, then both functions are equal to $0$.
Therefore the given statement is true.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.1 The Inverse Sine, Cosine, and Tangent Functions - 7.1 Assess Your Understanding - Page 450: 11
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