Trigonometry (10th Edition)

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

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 279: 11

Answer

$x=4$ $arccos(\frac{y}{6})$

Work Step by Step

$y=6 cos\frac{x}{4}$ Need to solve $x$ in order to find this divide the above equation by 3 both sides. $cos\frac{x}{4}=\frac{y}{6}$ Apply definition of arccosine. $\frac{x}{4}=arccos(\frac{y}{6})$ $x=4$ $arccos(\frac{y}{6})$
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