## Precalculus (6th Edition)

Published by Pearson

# Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 40

#### 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 $\csc^2t-1=\cot^2t$.

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