Trigonometry (11th Edition) Clone

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

Chapter 4 - Test - Page 193: 1a


secant function or $y=\sec{x}$

Work Step by Step

The given graph could either be the basic secant function or the basic cosecant function. The given graph has the vertical asymptotes $x=-\frac{3\pi}{2}, -\frac{\pi}{2}, \frac{\pi}{2}, \frac{3\pi}{2}$. Since secant is the reciprocal of cosine, and since the cosine function is equal to $0$ for $x=-\frac{3\pi}{2}, -\frac{\pi}{2}, \frac{\pi}{2}, \frac{3\pi}{2}$, then the secant function is undefined when $x=-\frac{3\pi}{2}, -\frac{\pi}{2}, \frac{\pi}{2}$, $\frac{3\pi}{2}$. Therefore ,the given graph must be the graph of the secant function.
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