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
$x=\frac{1}{3}arccot(2y)$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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
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