Answer
$$\csc^2t-1=\cot^2 t$$
Work Step by Step
$$A=\csc^2t-1$$
- Pythagorean Identity:
$$\csc^2t=1+\cot^2 t$$
Therefore, $$A=(1+\cot^2 t)-1$$
$$A=1+\cot^2 t-1$$
$$A=\cot^2t$$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 202: 30
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