Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3 - Page 28: 27

Answer

a. As shown in the figure, $ cos(x)$ and $ sec(x)$ have the same sign. The amplitude of $ sec(x)$ is the inverse of $ cos(x)$. b. As shown in the figure, $ sin(x)$ and $ csc(x)$ have the same sign. The amplitude of $ csc(x)$ is the inverse of $ sin(x)$.

Work Step by Step

a. As shown in the figure, $ cos(x)$ and $ sec(x)$ have the same sign. The amplitude of $ sec(x)$ is the inverse of $ cos(x)$. b. As shown in the figure, $ sin(x)$ and $ csc(x)$ have the same sign. The amplitude of $ csc(x)$ is the inverse of $ sin(x)$.
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