Answer
$\cot^2t$
Work Step by Step
Use the identity on page 655, $1+\cot^2 t=\csc^2 t$, and subtract $1$ from both sides:
$\cot^2 t=\csc^2t-1$
So $\csc^2t-1=\cot^2t$.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises - Page 666: 40
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