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 5.1 Fundamental Identities - 5.1 Exercises - Page 201: 56



Work Step by Step

$$A=\csc\theta\cos\theta\tan\theta$$ - Quotient Identity: $$\tan\theta=\frac{\sin\theta}{\cos\theta}$$ - Reciprocal Identity: $$\csc\theta=\frac{1}{\sin\theta}$$ We replace these into $A$, and we have $$A=\frac{1}{\sin\theta}\times\cos\theta\times\frac{\sin\theta}{\cos\theta}$$ $$A=\frac{1}{\sin\theta}\times\sin\theta$$ $$A=1$$
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