Trigonometry (10th Edition)

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

Chapter 5 - Trigonometric Identities - Section 5.4 Sum and Difference Identities for Sine and Tangent - 5.4 Exercises - Page 223: 78b

Answer

$F = 577.168~cos~\theta$ When we graph this function, we can see that $F= 400~lb$ when $\theta \approx 46^{\circ}$

Work Step by Step

$F = \frac{0.6~W~sin(\theta+90)}{sin~12}$ $F = \frac{0.6~(200)~sin(\theta+90)}{sin~12}$ $F = 577.168~sin(\theta+90)$ $F = 577.168~cos~\theta$ When we graph this function, we can see that $F= 400~lb$ when $\theta \approx 46^{\circ}$
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