Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.4 Trigonometric Functions and Their Inverse - 1.4 Exercises - Page 48: 55


$cos(cos^{-1}(-1)) = -1$

Work Step by Step

Note that $cos(cos^{-1}(x)) = x$ because the cosine and inverse cosine functions essentially negate each other, leaving an $x$. Therefore, $cos(cos^{-1}(-1)) = -1$.
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