Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.3 - Trigonometric Functions of Any Angle - 6.3 Exercises - Page 455: 106b

Answer

$0.1102\text{ cm}$

Work Step by Step

(b) Substitute $t=\frac{1}{4}$ into the equation: $$y\left(\frac{1}{4}\right)=2e^{-\frac{1}{4}}\cos \left(6\left(\frac{1}{4}\right)\right)=0.1102$$ Thus, the displacement is $0.1102$ cm.
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