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Law of sines

In trigonometry, the law of sines (sometimes called the sine formula or sine rule) is a mathematical equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, a sin ⁡ α = b sin ⁡ β = c sin ⁡ γ = 2 R , {\displaystyle {\frac {a}{\sin {\alpha }}}\,=\,{\frac {b}{\sin {\beta }}}\,=\,{\frac {c}{\sin {\gamma…

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Overview

Proof

Relation to the circumcircle

Spherical law of sines

Hyperbolic case

The case of surfaces of constant curvature

Higher dimensions

History

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Law of sines

Nodes62
Edges61
Triples35
Avg. degree1.97
Density0.032258
Components1

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Law of sines

Top relations

related to history · 11
Law of sines → Almagest, An, Brahmagupta, Brahmagupta's Khaṇḍakhādyaka, Brāhmasphuṭasiddhānta, Earth, Hellenistic, In, Indian, Ptolemy, Statements
related to External links · 8
Law of sines → CurvatureFinding, DegreeGeneralized, EMS Press, Encyclopedia, Mathematics, Sine, Sines, The Law
related to Spherical law of sines · 5
Law of sines → Because, Let, Suppose, The, These
related to Ambiguous case of triangle solution · 4
Law of sines → ABC, Given, In, When
related to Example 1 · 3
Law of sines → Angle, Given, Using
related to The case of surfaces of constant curvature · 2
Law of sines → Define, The
related to Examples · 1
Law of sines → The
related to Hyperbolic case · 1
Law of sines → In

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Important terminology

sin displaystyle law triangle sines frac angles sides angle two side spherical sine used right opposite triangles gamma also lengths

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Law of sinesrelated to Ambiguous case of triangle solutionWhen0.60section
Law of sinesrelated to Ambiguous case of triangle solutionIn0.60section
Law of sinesrelated to Ambiguous case of triangle solutionABC0.60section
Law of sinesrelated to Ambiguous case of triangle solutionGiven0.60section
Law of sinesrelated to Example 1Given0.60section
Law of sinesrelated to Example 1Angle0.60section
Law of sinesrelated to Example 1Using0.60section
Law of sinesrelated to ExamplesThe0.60section
Law of sinesrelated to External linksSine0.60section
Law of sinesrelated to External linksEncyclopedia0.60section
Law of sinesrelated to External linksMathematics0.60section
Law of sinesrelated to External linksEMS Press0.60section

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