Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Review Exercises: 42b

Answer

$C$

Work Step by Step

The tangent and secant functions are not defined for the following angles (or values of s): $\frac{\pi}{2}, \frac{3\pi}{2}, \frac{5\pi}{2}, \frac{7\pi}{2},...$ Notice that the values above have numerators whose coefficient of $\pi$ is an odd number. In the expression $(2n+1)\frac{\pi}{2}$, the value of $(2n+1)$ is always an odd number for all values of $n$. Thus, the domain of the tangent and the secant functions is $(2n+1)\frac{\pi}{2}$, where $n$ is any integer.
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