Problem provide definitions for two other transcendental functions.

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

(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,

Data from problem 122

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

cosh x = 1 z (ex + ex)