Art of Problem Solving
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Law of Cosines: Difference between revisions

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edited TeX to include \cos function
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The '''Law of Cosines''' is a formula used in finding lengths and angles of a triangle.  For sides a, b, and c with opposite angles A, B, and C respectively:
The '''Law of Cosines''' is a formula used in finding lengths and angles of a triangle.  For sides a, b, and c with opposite angles A, B, and C respectively:
<math>c^2 = a^2 + b^2 - 2abcosC</math>
<math>c^2 = a^2 + b^2 - 2ab\cos C</math>

Revision as of 20:21, 21 June 2006

The Law of Cosines is a formula used in finding lengths and angles of a triangle. For sides a, b, and c with opposite angles A, B, and C respectively: $c^2 = a^2 + b^2 - 2ab\cos C$