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: 35


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RECALL: The range of the function $y=\sec{x}$ is $(-\infty, -1] \cup [1, \infty)$ This means that the value of the secant function is either less than or equal to $-1$ or greater than or equal to $1$. Therefore, if $-1 \lt c \lt1$, then the equation $c=\sec{x}$ has no solution because the value of $\sec{x}$ will never be in the interval $( -1, 1)$.
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