Algebra and Trigonometry 10th Edition

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

Chapter 7 - 7.1 - Using Fundamental Identities - 7.1 Exercises - Page 513: 28



Work Step by Step

Remember that: $sec^2x=tan^2x+1$ $sec^2x-1=tan^2x$ $sec^3x-sec^2x-sec~x+1=sec^2x(sec~x-1)-1(sec~x-1)=(sec^2x-1)(sec~x-1)=tan^2x(sec~x-1)$
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