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Trigonometric functions take, as input, an angle between 0 and 360 degrees, or 0 and 2 pi radians. While it is useful to think of a right triangle on a unit circle, it is more correct to think in polar coordinates, where r=1 and theta equals the angle in question. The cosine and sign function still remain as the x and y values of the point on the unit circle. Even if you remain in rectangular coordinates, there is no problem, as you simply consider that, at 0, 90, 180, 270, and 360 degrees, the right triangle degrades to a straight line of length one.

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