Trigonometry (10th Edition)

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

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises: 60a

Answer

$\Delta S = 0.001462~S$

Work Step by Step

$\Delta S = 0.034~S~sin~[\frac{2\pi~(82.5-N)}{365.25}]$ We can find $\Delta S$ when $N = 80$: $\Delta S = 0.034~S~sin~[\frac{2\pi~(82.5-80)}{365.25}]$ $\Delta S = 0.034~S~sin~[\frac{5\pi}{365.25}]$ $\Delta S = 0.034~S~(0.043)$ $\Delta S = 0.001462~S$
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