Functions Modeling Change: A Preparation for Calculus, 5th Edition

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: 13

Answer

$$θ=\frac{-7.236+\pi n}{5}$$

Work Step by Step

Solving the equation using inverse trigonometric functions, we find: $$\tan \left(5θ+7\right)=-0.241 \\ θ+7=\arctan \left(-0.241\right)+\pi n \\ θ=\frac{-7.236+\pi n}{5}$$
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