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: 53



Work Step by Step

$$A=\cot\theta\sin\theta$$ - Quotient Identity: $$\cot\theta=\frac{\cos\theta}{\sin\theta}$$ Therefore, $A$ would be $$A=\frac{\cos\theta}{\sin\theta}\times\sin\theta$$ $$A=\cos\theta$$ Since no quotients appear here and all functions are of $\theta$ only, we can stop here.
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