Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - Mid-Chapter Quiz - Page 515: 11


sin A = $\frac{5}{6.4}$ cos A = $\frac{4}{6.4}$ tan A = $\frac{5}{4}$ sin B = $\frac{4}{6.4}$ cos B = $\frac{5}{6.4}$ tan B = $\frac{4}{5}$

Work Step by Step

The ratio for sine is: sin θ = $\frac{opposite}{hypotenuse}$ The ratio for cosine is: cos θ = $\frac{adjacent}{hypotenuse}$ The ratio for tangent is: tan θ = $\frac{opposite}{adjacent}$ Let's find these ratios for both $\angle A$ and $\angle B$: sin A = $\frac{5}{6.4}$ cos A = $\frac{4}{6.4}$ tan A = $\frac{5}{4}$ sin B = $\frac{4}{6.4}$ cos B = $\frac{5}{6.4}$ tan B = $\frac{4}{5}$
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