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Pythagoras discovered many of the properties of what would become trigonometric functions. The Pythagorean Theorum, a2 + b2 = c2 is a representation of the fundemental trigonometric identity sin2(x) + cos2(x) = 1. 1 is the hypotenuse of any right triangle, and has legs length sin(x) and cos(x) with x being one of the two non-right angles. With this in mind, the identity upon which trigonometry is based turs out to be the Pythagorean Theorum.

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