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Law of tangents

  

Law of tangents

In trigonometry, the law of tangents is a statement about arbitrary triangless 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

Derivation

Start with (a + b)/(a - b). ((sin A)/a = (sin B)/b because of the law of sines):
:


::(See: Trigonometric identity)

See also

  • Law of sines
  • Law of cosines


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