Elementary Geometry for College Students (7th Edition)

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: 35a

Answer

The identity sec α = $\frac{1}{cos α}$ is valid

Work Step by Step

sec α = $\frac{c}{b}$ cos α = $\frac{b}{c}$ $\frac{1}{cos α}$ = $\frac{1}{\frac{b}{c}}$ = $\frac{c}{b}$ So sec α and $\frac{1}{cos α}$ are equivalent
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.