Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 9 - Trigonometric Identities, Models, and Complex Numbers - 9.2 Identities, Expressions, and Equations - Exercises and Problems for Section 9.2 - Exercises and Problems - Page 363: 22

Answer

$$ tan(r^2-s^2)$$

Work Step by Step

Simplifying the expression using trigonometric identities, we find: $$\frac{1}{\frac{\cos \left(r^2-s^2\right)}{\sin \left(r^2-s^2\right)}} \\ \frac{\sin \left(r^2-s^2\right)}{\cos \left(r^2-s^2\right)} \\ tan(r^2-s^2)$$
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