Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 598: 106

Answer

See graph and explanations.

Work Step by Step

Step 1. We can graph both functions as shown in the figure. Step 2. We can see that the polynomial function is a good approximation to $y=cos(x)$ within the window especially around $x=0$. Extra: the polynomial function consists of the first three terms of a Taylor expansion for $y=cos(x)$.
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