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: 64



Work Step by Step

$$A=\frac{1+\cot\theta}{\cot\theta}$$ $$A=\frac{1}{\cot\theta}+\frac{\cot\theta}{\cot\theta}$$ $$A=\frac{1}{\cot\theta}+1$$ - Reciprocal Identity: $$\cot\theta=\frac{1}{\tan\theta}$$ So, we can rewrite like this: $$\tan\theta=\frac{1}{\cot\theta}$$ And we replace into $A$: $$A=\tan\theta+1$$
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