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What is the "law of tangents"?

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Quick Answer

The law of tangents states that for a triangle with sides a, b and c and corresponding angles A, B and C, (a - b)/(a + b) is equal to the tangent of (1/2[A - B])/(1/2[A + B]).

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Full Answer

The law of tangents can be used when the length of two sides and the size of the angle in between them are known, such as the values for b, c and A. The law can also be used when the values of any two angles and one side are known, such as A, B and a. The law of tangents is a trigonometric function.

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