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: 9

Answer

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

Work Step by Step

$y=3tan2x$ Need to solve $x$ in order to find this divide the above equation by 3 both sides. $tan2x=\frac{y}{3}$ Now, isolate $x$ as follows: $2x=arctan (\frac{y}{3})$ $x=\frac{1}{2}arctan(\frac{y}{3})$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.