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: 63



Work Step by Step

$$A=\frac{1+\tan(-\theta)}{\tan(-\theta)}$$ $$A=\frac{1}{\tan(-\theta)}+\frac{\tan(-\theta)}{\tan(-\theta)}$$ $$A=\frac{1}{\tan(-\theta)}+1$$ - Negative-angle Identity: $$\tan(-\theta)=-\tan\theta$$ $$A=-\frac{1}{\tan\theta}+1$$ - Reciprocal Identity: $$\cot\theta=\frac{1}{\tan\theta}$$ $$A=-\cot\theta+1$$ $$A=1-\cot\theta$$
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