Answer
$$θ=.2675$$
Work Step by Step
Solving the equation using inverse trigonometric functions, we find:
$$3\tan \left(4θ\right)=6,\:0\le \:θ\le \frac{\pi }{2} \\ θ=\frac{\arctan \left(2\right)+\pi n}{4} \\ θ=\frac{1.107}{4}=.2765$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 9 - Trigonometric Identities, Models, and Complex Numbers - 9.1 Trigonometric Equations - Exercises and Problems for Section 9.1 - Exercises and Problems - Page 357: 11
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