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: 7

Answer

$x=\frac{1}{3}arccot(2y)$

Work Step by Step

$y=\frac{1}{2}cot(3x)$ Multiply the above equation by 2 both sides. $cot3x=2y$ Apply definition of arcot $3x=arccot(2y)$ Divide both sides by 3 $x=\frac{1}{3}arccot(2y)$
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