Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 204: 95b

Answer

We can see the table of values below. Both $L(t)$ and $C(t)$ fluctuate continuously between the values of 3 and 0. It is interesting to note that $E(t)$ stays at a constant value of 3.

Work Step by Step

We can see the table of values below. $L(t) = 3cos^2(6,000,000~t)$ $C(t) = 3sin^2(6,000,000~t)$ $E(t) = L(t)+C(t)$ Both $L(t)$ and $C(t)$ fluctuate continuously between the values of 3 and 0. It is interesting to note that $E(t)$ stays at a constant value of 3.
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