All six hyperbolic functions are represented as built‐in functions in Mathematica. Following Mathematica's general naming convention, the StandardForm function names are simply capitalized versions of the traditional mathematics names. Here is a list hypFunctions of the six hyperbolic functions in StandardForm.
Here is a list hypFunctions of the six trigonometric functions in TraditionalForm.
Mathematica also knows the most popular forms of notations for the hyperbolic functions that are used in other programming languages. Here are three examples: CForm, TeXForm, and FortranForm.