Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.4 Equations Involving Inverse Trigonometric Functions - 6.4 Exercises - Page 285: 14

Answer

$x=\frac{1}{5}$ $arccot(\frac{y}{3})$

Work Step by Step

$y=3cot5x$ Need to solve $x$ in order to find this divide the above equation by 3 both sides. $\frac{y}{3}=cot5x$ Apply definition of arccot. $5x=arccot(\frac{y}{3})$ $x=\frac{1}{5}$ $arccot(\frac{y}{3})$
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