Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 51: 7

Answer

$\tan45^{\circ}= 1$

Work Step by Step

$\tan\theta = \frac{\sin\theta}{\cos\theta}$ $\tan45^{\circ}= \frac{\sin45^{\circ}}{\cos45^{\circ}}$ Function Value for $\sin45^{\circ} = \cos45^{\circ} =\frac{\sqrt 2}{2} $ $\tan45^{\circ}=\frac{\frac{\sqrt 2}{2}}{\frac{\sqrt 2}{2}}= 1$
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