Answer
$\theta \approx 1.168$ rad.
Work Step by Step
Take the arctan of both sides to get $$\arctan(\tan(\theta-1))=\arctan(0.17)$$ Therefore, $$\theta-1=\arctan(0.17)$$ Add $1$ to both sides to get $$\theta = 1+\arctan(0.17) \approx 1.168$$
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 7 - Trigonometry and Periodic Functions - Review Exercises and Problems for Chapter Seven - Page 318: 73
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