The "angle whose cosine is cosine x" is any angle at all.
If you let x represent any angle, it's cosine will be cos x and the angle that has that cosine can be x OR -x, because of the symmetry of the cos x function, which is even. The computer will select the positive value, no matter which sign x has.
That's a very interesting question.
So I have f(x)= arccos(cos(x)). When I graphed it on a graphing calculator I see that the f(x) is never lower then 0. So is there an explanation for this?.
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