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 628: 115

Answer

See graph and explanations.

Work Step by Step

Step 1. We can graph $y=sin^{-1}x+cos^{-1}x$ as shown in the figure. Step 2. It appears that the sum of the inverse sine and inverse cosine for values between -1 and 1 inclusive has a constant value of $\frac{\pi}{2}$. That is, $y=sin^{-1}x+cos^{-1}x=\frac{\pi}{2}$, where $x\in[-1,1]$
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