Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.5 - Graphs of Other Trigonometric Functions - 6.5 Exercises - Page 476: 57

Answer

The function is even. Notice that the function is symmetric with respect to the y-axis. $f(x)=f(-x)$, that is, $sec~x=sec(-x)$
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Work Step by Step

$sec(-x)=\frac{1}{cos(-x)}=\frac{1}{cos~x}=sec~x$
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