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Law of Cosines

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The law of cosines is a formula relating the side lengths and angles of a general triangle which is a generalization of the Pythagorean theorem.

Law of cosines is a high school-level concept that would be first encountered in a trigonometry course. It is listed in the California State Standards for Trigonometry.

Prerequisites

Cosine: The cosine is the ratio of the length of an angle's adjacent side to the length of the hypotenuse in a right triangle.
Pythagorean Theorem: The Pythagorean theorem is an equation relating the lengths of the sides of a right triangle as a squared plus b squared equals c squared, where c is the length of the hypotenuse.
Triangle: A triangle is a three-sided (and three-angled) polygon.
Trigonometry: Trigonometry is the study of angles and of the angular relationships of planar and three-dimensional figures.

Classroom Articles on Trigonometry (Up to High School Level)

  • Double-Angle Formulas
  • Tangent
  • Half-Angle Formulas
  • Trigonometric Addition Formulas
  • Law of Sines
  • Unit Circle
  • Sine