Following Mathematica's general naming convention, function names in StandardForm are just the capitalized versions of their traditional mathematics names. This shows the hyperbolic cosecant function in StandardForm.
This shows the hyperbolic cosecant function in TraditionalForm.
Mathematica also knows the most popular forms of notations for the hyperbolic cosecant function that are used in other programming languages. Here are three examples: CForm, TeXForm, and FortranForm.
