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: 25



Work Step by Step

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