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 5.2 Verifying Trigonometric Identities - 5.2 Exercises - Page 208: 37



Work Step by Step

$$A=\frac{\sin\beta\tan\beta}{\cos\beta}$$ $$A=\Bigg(\frac{\sin\beta}{\cos\beta}\Bigg)\tan\beta$$ - Quotient Identity: $$\frac{\sin\beta}{\cos\beta}=\tan\beta$$ Apply to $A$: $$A=\tan\beta\tan\beta$$ $$A=\tan^2\beta$$
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