I was thinking the same. I just got another system of equations with trig functions handed to me and I am just not finding the courage to do it by hand!
On a side note, do you know of any good dedicated system of equation solvers for the Ti?
(1) Show us the problem. You should learn to do it by hand even though in real life, you'll have a calculator. Doing it by hand can lead to insight into the problem.
(2) Use Newton's Method of approximation and program your own if your calculator doesn't already have a solver. The basic program is pretty simple if your calculator can calculate a first derivative (numerically or symbolically; either way's fine). Otherwise, you first have to program a program to calculate a derivative. Depending on the level of refinement you want in your program, you could spend a lot of time programming in how to gracefully fail in special cases, but you really can get away with not dealing with it if you don't want to deal with the special cases.
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