Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.5 - Inverse Trigonometric Functions and Their Graphs - 5.5 Exercises - Page 445: 34

Answer

$ \cos ^{-1}\left( \cos \left( \dfrac {3\pi }{4}\right) \right) =\dfrac {3\pi }{4}$

Work Step by Step

$\cos ^{-1}\left( \cos x\right) =x\left( 0\leq x\leq \pi \right) $ $ 0\leq \dfrac {3\pi }{4}\leq \pi $ $\Rightarrow \cos ^{-1}\left( \cos \left( \dfrac {3\pi }{4}\right) \right) =\dfrac {3\pi }{4}$
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