half-angle formulas

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• Tangent half-angle formula — In various applications of trigonometry, it is useful to rewrite the trigonometric functions (such as sine and cosine) in terms of rational functions of a new variable t . These identities are known collectively as the tangent half angle formulae …   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

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

• History of trigonometry — The history of trigonometry and of trigonometric functions may span about 4000 years.EtymologyOur modern word sine is derived from the Latin word sinus , which means bay or fold , from a mistranslation (via Arabic) of the Sanskrit word jiva ,… …   Wikipedia

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

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• 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

• Pythagorean triple — A Pythagorean triple consists of three positive integers a , b , and c , such that a 2 + b 2 = c 2. Such a triple is commonly written ( a , b , c ), and a well known example is (3, 4, 5). If ( a , b , c ) is a Pythagorean triple, then so is ( ka …   Wikipedia

• Cyclic quadrilateral — Cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. Other… …   Wikipedia

• Specular highlight — Specular highlights on a pair of spheres. A specular highlight is the bright spot of light that appears on shiny objects when illuminated (for example, see image at right). Specular highlights are important in 3D computer graphics, as they… …   Wikipedia

• Numerical aperture — The numerical aperture with respect to a point P depends on the half angle θ of the maximum cone of light that can enter or exit the lens. In optics, the numerical aperture (NA) of an optical system is a dimensionless number that characterizes… …   Wikipedia