Answer
The identity csc α = $\frac{1}{sin α}$ is valid
Work Step by Step
csc α = $\frac{c}{a}$
sin α = $\frac{a}{c}$
$\frac{1}{sin α}$ = $\frac{1}{\frac{a}{c}}$ = $\frac{c}{a}$
So csc α and $\frac{1}{sin α}$ are equivalent
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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 520: 36a
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