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 179: 16

Answer

$y = sec~(x+\frac{3\pi}{4})$ We can see the graph below.

Work Step by Step

$y = sec~(x+\frac{3\pi}{4})$ When $x = -\frac{5\pi}{4}$, then $y = sec~(-\frac{\pi}{2})~~$(which is undefined) When $x = -\frac{3\pi}{4}$, then $y = sec~0 = 1$ When $x = -\frac{\pi}{4}$, then $y = sec~\frac{\pi}{2}~~$(which is undefined) When $x = \frac{\pi}{4}$, then $y = sec~\pi = -1$ When $x = \frac{3\pi}{4}$, then $y = sec~\frac{3\pi}{2}~~$ (which is undefined) We can see the graph below.
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