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: 24

Answer

$$\sin\theta$$

Work Step by Step

Use the Reciprocal Identity: $$\sec\theta=\frac{1}{\cos\theta}.$$ To obtain $$\sec\theta\cos\theta\sin\theta=\bigg(\frac{1}{\cos\theta}\bigg)\cos\theta\sin\theta=\sin\theta.$$
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