Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 61: 83

Answer

$\theta = 45^{\circ}$ or $315^{\circ}$

Work Step by Step

1. Since $cos\theta$ is positive, $\theta$ must be in quadrant I or IV. 2. The reference angles is $45^{\circ}$. The other angle in IV quadrant must be : $360^{\circ}-45^{\circ}=315^{\circ}$
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