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Encyclopedia > Law of tangents

In trigonometry, the law of tangents is a statement about arbitrary triangles in the plane. If two sides of a triangle are (lower-case) a and b and the angles opposite those sides are (capital) A and B, then the law of tangents states Trigonometry (from the Greek trigonon = three angles and metro = measure) is a branch of mathematics dealing with angles, triangles and trigonometric functions such as sine, cosine and tangent. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... This article is about angles in geometry. ... In mathematics, the word tangent has two distinct, but etymologically related meanings: one in geometry, and one in trigonometry. ...

frac{a+b}{a-b} = frac{tan[frac{1}{2}(A+B)]}{tan[frac{1}{2}(A-B)]}

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  Results from FactBites:
 
Law of sines - Wikipedia, the free encyclopedia (591 words)
In trigonometry, the law of sines (or sine law) is a statement about arbitrary triangles in the plane.
When using the law of sines to solve triangles, under special conditions there exists an ambiguous case where two separate triangles can be constructed (i.e., there are two different possible solutions to the triangle).
If two sides of the triangle are equal to R and the length of the third side, the chord, is given as 100' (30.48 m) and the angle C opposite to the chord is given in degrees, then angle A = angle B = :
law: Definition, Synonyms and Much More From Answers.com (6597 words)
Law is typically administered through a system of courts in which judges (sometimes with the aid of a jury or lay magistrate) hear disputes between parties, and apply a set of rules in order to provide an outcome that is just and fair.
The area of public law, in a general sense, is the law in a given legal system that concerns the legal organisation of the various branches of government and institutions of state, as well as disputes between the government and private persons within the jurisdiction of the country.
Economic analysis of law (or economics and law) is the term usually employed to describe an approach to legal theory that incorporates and applies the methods and ideas of economics to the concepts of law.
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