Question: The hyperbolic cosine and hyperbolic sine functions are defined by a. Show that cosh x is an even function. b. Show that sinh x is

The hyperbolic cosine and hyperbolic sine functions are defined bycosh x = et + ex 2 and sinh x = et


a. Show that cosh x is an even function.


b. Show that sinh x is an odd function.


c. Prove that (cosh x)2 - (sinh x)2 = 1.

cosh x = et + ex 2 and sinh x = et - ex 2

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