Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - 8.1 Right Triangle Trigonometry; Applications - 8.1 Assess Your Understanding - Page 519: 25

Answer

$0$

Work Step by Step

We know that $\cos{(\theta)}=\sin{(90^{o}-\theta)}$, and $\tan{(\theta})=\frac{\sin{(\theta)}}{\cos{(\theta)}}$, hence $\tan{(20^{o})}-\frac{\cos{(70^{o})}}{\cos{(20^{o})}}=\tan({20^{o}})-\frac{\sin{(20^{o})}}{\cos{(20^{o})}}=\tan{(20^{o})}-\tan{(20^{o})}=0.$
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