Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 442: 47


The identity is verified. $(sec~θ+tan~θ)(sec~θ-tan~θ)=1$

Work Step by Step

Use: $1+tan^2θ=sec^2θ$ $1=sec^2θ-tan^2θ$ $(sec~θ+tan~θ)(sec~θ-tan~θ)=sec^2θ-tan^2θ=1$
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