Are we expected to sketch Inverse circular & reciprocal circular functions by hand (like including transformed functions)? If so, then how frequently do these types of questions appear on exams?
Cheers
Yes. Quite often there'll probably at least be an inverse one, and you probably can't rule out the reciprocal ones either. e.g. it's something you can't ignore, there's no reason that it couldn't come up on an exam and you probably do need to know how to do it.
With the reciprocal ones, if you get stuck, just treat it like sketching any other reciprocal function to figure it out. You probably would want to remember what they look like in your head anyway, it can make certain questions easier if you have a visual picture of what's going on in your head.
For the inverse ones, you can treat it like sketching any other function - know the basic form and then apply the transformations.