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These functions, such as the sine and cosine, are defined using right ... if you used these functions in a proof of the Pythagorean theorem, you would have assumed the theorem to begin with ...
On the other hand, there is a conventional belief that the law of sine cannot be used to prove it, and therefore it is considered impossible to prove the Pythagorean theorem using trigonometry ...
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 ...
The standard Pythagorean theorem is used on an everyday basis in ... the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.” Used to calculate the side lengths of ...
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 ...
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 ...
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