Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 14 - Trigonometric Identities and Equations - 14-1 Trigonometric Identities - Practice and Problem-Solving Exercises - Page 908: 30



Work Step by Step

Simplify $$\csc\theta\cos\theta\tan\theta.$$ Use the Reciprocal Identity $$\csc\theta=\frac{1}{\sin\theta}$$ and the Tangent Identity $$\tan\theta=\frac{\sin\theta}{\cos\theta}$$ to obtain $$\csc\theta\cos\theta\tan\theta=\bigg(\frac{1}{\sin\theta}\bigg)\cos\theta\bigg(\frac{\sin\theta}{\cos\theta}\bigg)=1.$$
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