Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.4 Graphs of the Secant and Cosecant Functions - 4.4 Exercises - Page 180: 33



Work Step by Step

Figure 37 shows that the graph of $y=\sec{x}$ is symmetric with respect to the y-axis. This means that the value of $y=\sec{x}$ when $x=-\pi$ is the same as its value when $x=\pi$, and this is true for all non-zero values of $x$. Therefore, $\sec{x} = \sec{(-x)}$.
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