Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - Exercise Set - Page 627: 89


Domain: All real Numbers and Range: $[-\dfrac{\pi}{2},\dfrac{\pi}{2} ]$

Work Step by Step

Inside, we have the regular cosine function, with domain $(-\infty,\infty)$. Outside, we have the inverse sine function, which returns values in the interval $[-\dfrac{\pi}{2},\dfrac{\pi}{2} ]$. Therefore, we have the Domain and Range of the function as follows: Domain: All real Numbers and Range: $[-\dfrac{\pi}{2},\dfrac{\pi}{2} ]$
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