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: 15


The trigonometric Identity is verified. $tan(\frac{\pi}{2}-θ)tan~θ=1$

Work Step by Step

We know that: $tan(\frac{\pi}{2}-θ)=cot~θ~~$ (Cofunction Identity, page 508) $cot~θ=\frac{1}{tan~θ}$ Start at the left side of the equation: $tan(\frac{\pi}{2}-θ)tan~θ=cot~θ~tan~θ=\frac{1}{tan~θ}~tan~θ=1$
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