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 - 7.8 Inverse Trigonometric Functions - Exercises and Problems for Section 7.8 - Exercises and Problems - Page 314: 20

Answer

$$ t=\frac{3\pi }{4},\:t=\frac{7\pi }{4}$$

Work Step by Step

Using inverse trigonometric functions to solve the equation, we find: $$\tan \left(t\right)=-1,\:0\le \:t\le \:2\pi \\ t=\frac{3\pi }{4}+\pi n \\ t=\frac{3\pi }{4},\:t=\frac{7\pi }{4}$$

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