Answer
$\dfrac{3\pi}{4}$
Work Step by Step
We know that $f^{-1}(f(x))=x$.
For inverse cosine, the value of $x$ (angle measure) should be in the interval $ 0\leq x\leq \pi$.
Hence,
$\cos^{-1}{(\cos{(\frac{3\pi}{4}}}))=\frac{3\pi}{4}$
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 - Chapter Review - Review Exercises - Page 505: 10
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