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www.johndcook.com
| | www.oranlooney.com
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| | One thing you may have noticed about the trigonometric functions sine and cosine is that they seem to have no agreed upon definition. Or rather, different authors choose different definitions as the starting point, mainly based on convenience. This isn't problematic or even particularly unusual in mathematics - as long as we can derive any of the other forms from any starting point, it makes little theoretical difference which we start from since they're all equivalent anyway.
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| | Interesting fact about the Pythagorean theorem.
| | www.mathplanet.com
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| | www.scientificamerican.com
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| At an American Mathematical Society meeting, high school students presented a proof of the Pythagorean theorem that used trigonometry-an approach that some once considered impossible