tangent function

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• Tangent — For the tangent function see trigonometric functions. For other uses, see tangent (disambiguation). In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that just touches the curve at that point… …   Wikipedia

• Tangent — Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface; specifically …   The Collaborative International Dictionary of English

• Tangent galvanometer — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Tangent of an angle — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Tangent of an arc — Tangent Tan gent, n. [L. tangens, entis, p. pr. of tangere to touch; akin to Gr. ? having seized: cf. F. tangente. Cf. {Attain}, {Contaminate}, {Contingent}, {Entire}, {Tact}, {Taste}, {Tax}, v. t.] (Geom.) A tangent line curve, or surface;… …   The Collaborative International Dictionary of English

• Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public …   The Collaborative International Dictionary of English

• tangent — ► NOUN 1) a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point. 2) Mathematics the trigonometric function that is equal to the ratio of the sides (other than the hypotenuse)… …   English terms dictionary

• Tangent bundle — In mathematics, the tangent bundle of a smooth (or differentiable) manifold M , denoted by T ( M ) or just TM , is the disjoint unionThe disjoint union assures that for any two points x 1 and x 2 of manifold M the tangent spaces T 1 and T 2 have… …   Wikipedia

• Tangent space — In mathematics, the tangent space of a manifold is a concept which facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector pointing from… …   Wikipedia

• 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

• tangent — I. adjective Etymology: Latin tangent , tangens, present participle of tangere to touch; perhaps akin to Old English thaccian to touch gently, stroke Date: 1594 1. a. meeting a curve or surface in a single point if a sufficiently small interval… …   New Collegiate Dictionary