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*For an angle of an integer number of degrees, the sine and the cosine may be expressed in terms of square roots and the cube root of a non-real complex number. Galois theory allows a proof that, if the angle is not a multiple of 3°, non-real cube roots appear in the defintion of their sine and cosine.
*For an angle which, expressed in degrees, is a rational number, the sine and the cosine

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