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: 57



Work Step by Step

$$A=\cos\theta\csc\theta$$ - Reciprocal Identity: $$\csc\theta=\frac{1}{\sin\theta}$$ Replace this into $A$, we have $$A=\cos\theta\times\frac{1}{\sin\theta}$$ $$A=\frac{\cos\theta}{\sin\theta}$$ $$A=\cot\theta\hspace{1cm}\text{(Quotient Identity)}$$
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