Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 610: 50

Answer

See graph and explanations.

Work Step by Step

Step 1. Start from function $y=cos(x)$ (purple) which has a period of $2\pi$ to obtain $y=sec(x)$ (not shown to avoid mixing with the final result) in the interval of $[0,2\pi]$ using reciprocal properties. Step 2. Start from $y=sec(x)$ and reflect the curve with respect to the y-axis to get the red curve for $y=sec|x|$
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