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Exact Values of Trigonometric Functions for Given Angles

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For certain choices of integers , , trigonometric functions of the angle can be expressed in terms of (possibly nested) square roots.

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The angles for which the trigonometric functions can be expressed in terms of square root towers of rationals are limited precisely to those values that produce constructible regular polygons.

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Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

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