Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.1 - Basic Graphs - 4.1 Problem Set - Page 192: 54



Work Step by Step

$\csc(-\theta)$ can be written as $\frac{1}{\sin(-\theta)}$. $\tan(-\theta)$ can also be written as $\frac{\sin(-\theta)}{\cos(-\theta)}$. Therefore, the equation can be rewritten: $\cos(-\theta)\csc(-\theta)\tan(-\theta)=\cos(-\theta)\frac{1}{\sin(-\theta)}\frac{\sin(-\theta)}{\cos(-\theta)}=1$ As the trigonometric terms cancel out, $\cos(-\theta)\csc(-\theta)\tan(-\theta)=1$
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