Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.2 Trigonometric Equations I - 6.2 Exercises - Page 267: 24

Answer

$\theta = 45^{\circ}, 225^{\circ}, 0^{\circ}, 360^{\circ}$

Work Step by Step

$(tan \theta -1)(\cos \theta -1) = 0$ $\tan \theta - 1 = 0$ $\tan \theta = 1$ $\theta = 45^{\circ}, 225^{\circ}$ $\cos \theta - 1 = 0$ $\cos \theta = 1$ $\theta = 0^{\circ}, 360^{\circ}$ Therefore, $\theta = 45^{\circ}, 225^{\circ}, 0^{\circ}, 360^{\circ}$
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