> 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 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Ben Dillon (firstname.lastname@example.org) St. Joe HS, South Bend, IN "Why, sometimes I've believed as many as six impossible things before breakfast!"