Answer
See below.
Work Step by Step
1. $LHS=csc^4\theta-csc^2\theta=csc^2\theta(csc^2\theta-1)=csc^2\theta(cot^2\theta)$
2. $RHS=cot^4\theta+cot^2\theta=cot^2\theta(cot^2\theta+1)=cot^2\theta(csc^2\theta)=LHS$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Section 6.4 Trigonometric Identities - 6.4 Assess Your Understanding - Page 497: 36
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
