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: 76

Answer

Domain : $[-1,1]$ and Range: $[\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$

Work Step by Step

A vertical shift of $\dfrac{\pi}{2}$ results in shifting the range of the inverse cosine curve upwards by an angle of $\dfrac{\pi}{2}$. The domain remains the same. Therefore, we have the Domain and Range of the function as follows: Domain : $[-1,1]$ and Range: $[\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$
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