I ran across a small curiosity when working today; specifically that LaTeX defines
\coth by default, but not
\csch. I’d like to know why. I think of the three functions are being very similar, so I’m curious as to why one is defined by default, but the others aren’t.
I know that a lot of thought went into the original design of LaTeX, and that suggesting changes (however minor) to the core functionality is a bad idea. So I’m not trying to cast a value judgement on this, I just want to know why it’s done that way.
However, I can imagine that the designers of LaTeX probably aren't interested in explaining (relatively minor) design decisions like this, or that there might not be a single right answer to the question.
Is this an appropriate question to ask on TeX.se? More generally, are questions asking for explanations of why LaTeX behaves as it does appropriate, or should they be reserved to personal curiosities?