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.


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.


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




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