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 60: 77

Answer

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

Work Step by Step

$sin(\theta) = \frac{y}{r}$ $cos(\theta) = \frac{x}{r}$ If $sin(\theta) = cos(\theta)$, then $x = y$ If $x = y$, then $\theta = 45^{\circ}$ or $\theta = 225^{\circ}$
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