Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 11 - Section 11.3 - The Tangent Ratio and Other Ratios - Exercises - Page 512: 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.