Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 208: 40


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

Work Step by Step

$$A=\csc^2t-1$$ - Pythagorean Identity: $$\csc^2t=1+\cot^2 t$$ Therefore, $$A=(1+\cot^2 t)-1$$ $$A=1+\cot^2 t-1$$ $$A=\cot^2t$$
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