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: 11


$$\cos \left(t\right)+3\sin \left(t\right)$$

Work Step by Step

Simplifying the expression, we obtain: $$2\cos \left(t\right)-\cos \left(t\right)+3\cos \left(t\right)\tan \left(t\right)$$ Since tangent equals $\frac{sint}{cost}$, it follows: $$\cos \left(t\right)+3\cos \left(t\right)\tan \left(t\right)\\ \cos \left(t\right)+3\cos \left(t\right)\frac{\sin \left(t\right)}{\cos \left(t\right)} \\ \cos \left(t\right)+3\sin \left(t\right)$$
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