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: 106c

Answer

$-1.201\text{ cm}$

Work Step by Step

(c) Substitute $t=\frac{1}{2}$ into the equation: $$y\left(\frac{1}{2}\right)=2e^{-\frac{1}{2}}\cos \left(6\left(\frac{1}{2}\right)\right)=-1.201$$ Thus, the displacement is $-1.201$ cm.
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