Definition of

Hyperbolic Functions

The two basic hyperbolic functions are sinh and cosh.

sinh(x) = (ex − e−x)/2

cosh(x) = (ex + e−x)/2

(From those two we also get the tanh, coth, sech and csch functions.)

Here you see how sinh compares to the sine function and cosh compares to the cosine function:

sinh vs sin
cosh vs cos