digits in 1424. Not long after Viète published his formula, Ludolph van Ceulen used a method closely related to Viète's to calculate 35 digits of π, which...

France. Viète was born at Fontenay-le-Comte in present-day Vendée. His grandfather was a merchant from La Rochelle. His father, Etienne Viète, was an...

written using binomial coefficients. This formula was given by 16th century French mathematician François Viète: sin ⁡ n x = ∑ k = 0 n ( n k ) ( cos ⁡ x...

\right)-{\frac {2\pi k}{3}}\,\right]\qquad {\text{for }}k=0,1,2.} This formula is due to François Viète. It is purely real when the equation has three real roots (that...

In trigonometry, Mollweide's formula is a pair of relationships between sides and angles in a triangle. A variant in more geometrical style was first...

In trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half...

mass–energy equivalence. Mathematical notation was first introduced by François Viète at the end of the 16th century and largely expanded during the 17th and...

\theta } the following is true, and can be deduced using De Moivre's formula, Euler's formula and the binomial theorem. The product-to-sum identities or...

d'Al-Kashi. The theorem was first written using algebraic notation by François Viète in the 16th century. At the beginning of the 19th century, modern algebraic...

simple as possible concerning the prerequisites, of an analysis of the formula ∫ 0 π f ( x ) sin ⁡ ( x ) d x = ∑ j = 0 n ( − 1 ) j ( f ( 2 j ) ( π ) +...

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle...

Johannes Werner, Paul Wittich, Joost Bürgi, Christopher Clavius, and François Viète. Wittich, Ibn Yunis, and Clavius were all astronomers and have all been...

much influenced by the work of François Viète. In 1630, he bought the office of a councilor at the Parlement de Toulouse, one of the High Courts of Judicature...

involving the inverse trigonometric functions. For a complete list of integral formulas, see lists of integrals. The inverse trigonometric functions are also known...

sines Law of cosines Law of cotangents Mollweide's formula Half-side formula Tangent half-angle formula See Eli Maor, Trigonometric Delights, Princeton University...

referred to as a digital resolver. In his research Volder was inspired by a formula in the 1946 edition of the CRC Handbook of Chemistry and Physics: K n R...

{1}{3}}\right)^{+1}\cdots } (another form of Wallis product) Viète's formula: 2 π = 2 2 ⋅ 2 + 2 2 ⋅ 2 + 2 + 2 2 ⋅ ⋯ {\displaystyle {\frac {2}{\pi...

since a regular sequence of values is required, is to use a recurrence formula to compute the trigonometric values on the fly. Significant research has...

first assertion. For the second one—the inradius formula—we start from the general addition formula: cot ⁡ ( u + v + w ) = cot ⁡ u + cot ⁡ v + cot ⁡ w...

koti-jyā and utkrama-jyā Versine Trigonometric identity (list) De Moivre's formula Euler's formula Hermite's cotangent identity Lagrange's trigonometric identities...

obtained from polygons with fewer sides. Viète's formula, published by François Viète in 1593, was derived by Viète using a closely related polygonal method...

main treatise. Algebra became an area in its own right only with François Viète (1540–1603), who introduced the use of variables for representing unknown...

solution does not use only straightedge and compass constructions. François Viète found such a solution by exploiting limiting cases: any of the three given...

notation was developed shortly thereafter by the French mathematician François Viète. Perhaps more importantly than his work with algebra, however, the book...

of Mathematical Sciences. 22 (2): 64–85. doi:10.35834/mjms/1312233136. Viète, François (1579). Canon mathematicus seu ad triangula : cum adpendicibus...

mathematical reputation. In 1706, Machin computed the value of π with the formula given below to one hundred decimal places. His ingenious quadrature of...

term). 16th century: François Viète discovers Vieta's formulas. 16th century: François Viète discovers Viète's formula for π.1500: Scipione del Ferro...

estimate π to 11 digits around 1400. In 1593, François Viète published what is now known as Viète's formula, an infinite product (rather than an infinite sum...

\leq \pi /2.} Alternatively, apply the boundary terms directly to the formula for the antiderivative. For example, the definite integral ∫ − 1 1 4 −...

x + C {\displaystyle \int a\cos nx\,dx={\frac {a}{n}}\sin nx+C} In all formulas the constant a is assumed to be nonzero, and C denotes the constant of...