>John Forrest wrote: > >> The problem I thought I'd run into in the classroom, which has >> NOT occurred, is the confusion of sin^-1(x)---that is, arcsin(x)---with >> 1/sin(x)---that is, csc(x). > >Boy, I've run into this! At least a third of my Algebra II Trig students >have asked about this in class. A gentle reminder usually works, but they >wish -1 had not been set up to mean inverse function as well as reciprocal. > And I wonder why as well; there are plenty of other unused symbols. I would >have suggested an upside-down f to stand for f-inverse. > >Ben :D
A backwards arrow (<--) in superscript is often used for function inverse in mathematical papers. Why not adopt it for high school?
==================================== Judy Roitman, Mathematics Department Univ. of Kansas, Lawrence, KS 66049 email@example.com =====================================