for csc(2n+1) ; the "2n + 1" is considered the argument. The argument I am referring to in the title is the age old battle between what should you know and what should you be able to get, look up, or derive when needed.
The battle rages on. Here is my update to the JS Maths Wiki
that was inspired by one such argument (very civil) that I participated in at a holiday party for the staff at our school. Here is the derivation of the derivative of cosecant of x.