[Tex/LaTex] Package or command for inverse hyperbolic trig functions

Question

What are the commands for all the:

• inverse trig functions (arcsec(x), arcCsc(x), arcCot(x));
• hyperbolic trig functions (sech(x) and csch(x)), and
• inverse hyperbolic trig functions?

Answer 1

After spending some time looking for this, I found this post that suggested defining the new commands for the omitted inverse trig functions.

Here I've augmented that with the full suit of hyperbolic and inverse hyperbolic functions for convenience, as google doesn't turn anything up for this search, nor does the other post come up if one is searching for the inverse hyperbolic functions, specifically.

\documentclass{article} 

\usepackage{amsmath}
\DeclareMathOperator{\sech}{sech}
\DeclareMathOperator{\csch}{csch}
\DeclareMathOperator{\arcsec}{arcsec}
\DeclareMathOperator{\arccot}{arcCot}
\DeclareMathOperator{\arccsc}{arcCsc}
\DeclareMathOperator{\arccosh}{arcCosh}
\DeclareMathOperator{\arcsinh}{arcsinh}
\DeclareMathOperator{\arctanh}{arctanh}
\DeclareMathOperator{\arcsech}{arcsech}
\DeclareMathOperator{\arccsch}{arcCsch}
\DeclareMathOperator{\arccoth}{arcCoth} 

\begin{document} 
\[
\sech x   \cschx   \arcsec x   \arccot x   \arccsc x   \arccosh x   \arcsinh x   \arctanh x   \arcsech x   arccsch x   \arccoth x 
\]
\end{document}