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law of tangents

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  • Law of tangents — In trigonometry, the law of tangents is a statement about the relationship between the lengths of the three sides of a triangle and the tangents of the angles.In Figure 1, a , b , and c are the lengths of the three sides of the triangle, and α,… …   Wikipedia

  • law of tangents — a law in plane trigonometry: in any plane triangle the tangent of one half the difference of any two angles is to the tangent of one half their sum as the difference of the sides opposite the respective angles is to the sum of those sides …   Useful english dictionary

  • Law of cosines — This article is about the law of cosines in Euclidean geometry. For the cosine law of optics, see Lambert s cosine law. Figure 1 – A triangle. The angles α, β, and γ are respectively opposite the sides a, b, and c …   Wikipedia

  • Law of sines — The law of sines (sines law, sine formula, sine rule), in trigonometry, is a statement about any triangle in a plane. Where the sides of the triangle are a , b and c and the angles opposite those sides are A , B and C , then the law of sines… …   Wikipedia

  • tangents — Artificial Ar ti*fi cial, a. [L. artificialis, fr. artificium: cf. F. artificiel. See {Artifice}.] 1. Made or contrived by art; produced or modified by human skill and labor, in opposition to natural; as, artificial heat or light, gems, salts,… …   The Collaborative International Dictionary of English

  • Benford's law — Benford s law, also called the first digit law, states that in lists of numbers from many real life sources of data, the leading digit is distributed in a specific, non uniform way. According to this law, the first digit is 1 almost one third of… …   Wikipedia

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

  • Trigonometry — Trig redirects here. For other uses, see Trig (disambiguation). The Canadarm2 robotic manipulator on the International Space Station is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end… …   Wikipedia

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

  • Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

  • Spherical trigonometry — Spherical triangle Spherical trigonometry is a branch of spherical geometry which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in… …   Wikipedia

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