Problem provide definitions for two other transcendental functions. The hyperbolic cosine function, designated by cosh x, is

Question:

Problem provide definitions for two other transcendental functions.

The hyperbolic cosine function, designated by cosh x, is defined as

cosh x 5(e* + e*) 2


(a) Show that f(x) = cosh x is an even function.

(b) Graph f(x) = coshx using a graphing utility.

(c) Refer to problem 122. Show that, for every x,

|(cosh x)? – (sinh x)² = 1


Data from problem 122

The hyperbolic sine function, designated by sinh x, is defined as

sinh x 1 -(ex-e-x)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

Question Posted: