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The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle.

The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.

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Q: What is the relevance of the number 1.414 to a 45 degree angle?
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