Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.2 - Verifying Trigonometric Identities - 7.2 Exercises - Page 520: 16


The trigonometric Identity is verified. $\frac{cos(\frac{\pi}{2}-x)}{sin(\frac{\pi}{2}-x)}=tan~x$

Work Step by Step

We know that: $cos(\frac{\pi}{2}-x)=sin~x$ $sin(\frac{\pi}{2}-x)=cos~x$ (Cofunction Identities, page 508) Start at the left side of the equation: $\frac{cos(\frac{\pi}{2}-x)}{sin(\frac{\pi}{2}-x)}=\frac{sin~x}{cos~x}=tan~x$
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