Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 7 - 7.2 - Verifying Trigonometric Identities - 7.2 Exercises - Page 520: 31


The identity is verified. $\frac{cot^2t}{csc~t}=\frac{1-sin^2t}{sin~t}$

Work Step by Step

$sin^2t+cos^2t=1$ $cos^2t=1-sin^2t$ $\frac{cot^2t}{csc~t}=\frac{\frac{cos^2t}{sin^2t}}{\frac{1}{sin~t}}=\frac{cos^2t}{sin^2t}\frac{sin~t}{1}=\frac{cos^2t}{sin~t}=\frac{1-sin^2t}{sin~t}$
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