Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 11 - Section 11.3 - The Tangent Ratio and Other Ratios - Exercises - Page 519: 7

Answer

$\sin\alpha=\frac{a}{c}$ $\cos\alpha=\frac{b}{c}$ $\tan\alpha=\frac{a}{b}$ $\csc\alpha=\frac{c}{a}$ $\sec\alpha=\frac{c}{b}$ $\cot\alpha=\frac{b}{a}$

Work Step by Step

$\sin\alpha=\frac{opposite}{hypotenuse}=\frac{a}{c}$ $\cos\alpha=\frac{adjacent}{hypotenuse}=\frac{b}{c}$ $\tan\alpha=\frac{opposite}{adjacent}=\frac{a}{b}$ $\csc\alpha=\frac{hypotenuse}{opposite}=\frac{c}{a}$ $\sec\alpha=\frac{hypotenuse}{adjacent}=\frac{c}{b}$ $\cot\alpha=\frac{adjacent}{opposite}=\frac{b}{a}$
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