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Although the proof is an impressive bit of mathematics, other mathematicians have employed similar approaches before, using sine and cosine to independently prove the Pythagorean Theorem without ...

Louisiana students who solved the Pythagorean theorem discover nine more solutions to it ... The ratios – sine and cosine – are determined by the right angle of the triangle.

Here, if we use the sine theorem, which does not use the Pythagorean theorem, to convert the formula for the ratio of straight lines A and C, we end up with the following formula.

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...