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 520: 34a

Answer

the identity cot α = $\frac{cos α}{sin α}$ is valid

Work Step by Step

cot α = $\frac{b}{a}$ cos α = $\frac{b}{c}$ ; sin α = $\frac{a}{c}$ $\frac{cos α}{sin α}$ = $\frac{\frac{b}{c}}{\frac{a}{c}}$= $\frac{b}{a}$ So cot α and $\frac{cos α}{sin α}$ are equivalent
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