double-angle formulas

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• List of trigonometric identities — Cosines and sines around the unit circle …   Wikipedia

• Cissoid of Diocles — construction In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the… …   Wikipedia

• Cardioid/Proofs — TheoremThe curve defined by the parametric equations : x(t) = 2 r left( cos t {1 over 2} cos 2 t ight), qquad qquad (1) : y(t) = 2 r left( sin t {1 over 2} sin 2 t ight) qquad qquad (2) has the same shape as the curve defined in polar coordinates …   Wikipedia

• trigonometry — trigonometric /trig euh neuh me trik/, trigonometrical, adj. trigonometrically, adv. /trig euh nom i tree/, n. the branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles, and the… …   Universalium

• Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …   Wikipedia

• Machin-like formula — In mathematics, Machin like formulas are a class of identities involving pi; = 3.14159... that generalize John Machin s formula from 1706::frac{pi}{4} = 4 arctanfrac{1}{5} arctanfrac{1}{239},which he used along with the Taylor series expansion of …   Wikipedia

• Exact trigonometric constants — Exact constant expressions for trigonometric expressions are sometimes useful, mainly for simplifying solutions into radical forms which allow further simplification.All values of sine, cosine, and tangent of angles with 3° increments are… …   Wikipedia

• Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …   Wikipedia

• Sine — For other uses, see Sine (disambiguation). Sine Basic features Parity odd Domain ( ∞,∞) Codomain [ 1,1] P …   Wikipedia

• Viète's formula — This article is not about Viète s formulas for symmetric polynomials. In mathematics, the Viète formula, named after François Viète, is the following infinite product type representation of the mathematical constant… …   Wikipedia

• Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia