Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.11 - Hyperbolic Functions - 3.11 Exercises - Page 264: 1


(a) 0 (b) 1

Work Step by Step

(a): recall $sinh(x)$ = $\frac{(e^x)-(e^-x)}{2}$; therefore, $sinh(0)$= $\frac{(e^0)-(e^-0)}{2}$=$\frac{(1)-(1)}{2}$=$\frac{0}{2}$=$0$ (b): recall $cosh(x)$ = $\frac{(e^x)+(e^-x)}{2}$; therefore, $cosh(0)$= $\frac{(e^0)+(e^-0)}{2}$=$\frac{(1)+(1)}{2}$=$\frac{2}{2}$=$1$
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