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: 105

Answer

See graph and explanations.
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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 $y=sin(x)$ within the window, especially around $x=0$. Extra: the polynomial function consists of the first three terms of a Taylor expansion for $y=sin(x)$.
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