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 521: 52

Answer

Identity is verified. $tan^2x~sec^4x=(tan^2x+tan^4x)sec^2$

Work Step by Step

We know that: $1+tan^2x=sec^2x$ Start at the right side of the equation: $(tan^2x+tan^4x)sec^2=[tan^2x(1+tan^2x)]sec^2x=[tan^2x(sec^2x)]sec^2x=tan^2x(sec^2x·sec^2x)=tan^2x~sec^4x$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions