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    What Is the Law of Sines

    Alternate names

    sine law | sines law

    Basic definition

    The law of sines is a formula relating the ratios of sines of angles to the opposite side lengths for a general triangle.

    Detailed definition

    Let a, b, and c be the lengths of the legs of a triangle opposite angles A, B, and C. Then the law of sines states that a/(sin A) = b/(sin B) = c/(sin C) = 2R, where R is the radius of the circumcircle.

    Related terms

    generalized law of sines | law of cosines | law of tangents

    Educational grade level

    high school level (California trigonometry standard)

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