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 - Test - Page 534: 14a

Answer

$\frac{a}{c}$

Work Step by Step

From the given Question, we can say that the Hypotenuse is Side $c$, and adjacent side of $\angle B$ is Side $a$; this is because $Cosβ=\frac{a}{c}=\frac{Adjacent side of \angle β}{Hypotenuse}$ $Sinα=\frac{Opposite side of \angle α}{Hypotenuse}$ Opposite Side of $\angle α$ = Adjacent side of $\angle β$ = a Hypotenuse= c Therefore, $Sinα=\frac{a}{c}$
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