Viète's Formula
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High Quality Content by WIKIPEDIA articles! In mathematics, the Viète formula, named after François Viète, is the following infinite product type representation of the mathematical constant : frac2pi= frac{sqrt2}2cdot frac{sqrt{2+sqrt2}}2cdot frac{sqrt{2+sqrt{2+sqrt2}}}2cdots. The above formula is now considered as a result of one of Leonhard Euler's formula - branded more than one century after. Euler discovered that: frac{sin(x)}x=cosleft(frac{x}2right)cdotcosleft(frac{x}4right)cdotcosleft(frac{x}8right)cdots. Substituting x= /2 will produce the formula for 2/ , that is represented in an elegant manner by Viète.…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics, the Viète formula, named after François Viète, is the following infinite product type representation of the mathematical constant : frac2pi= frac{sqrt2}2cdot frac{sqrt{2+sqrt2}}2cdot frac{sqrt{2+sqrt{2+sqrt2}}}2cdots. The above formula is now considered as a result of one of Leonhard Euler's formula - branded more than one century after. Euler discovered that: frac{sin(x)}x=cosleft(frac{x}2right)cdotcosleft(frac{x}4right)cdotcosleft(frac{x}8right)cdots. Substituting x= /2 will produce the formula for 2/ , that is represented in an elegant manner by Viète.