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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Law of Sines

Given AAS, ASA, and occasionally SSA

13.1    Given the diagram below, in which A is opposite a, B is opposite b, and C is opposite c, state the law of sines.

The law of sines states that the ratio of the sine of an angle to the length of the opposite side is constant in a triangle.

You may also express the law of sines using the reciprocals of the ratios.

Note: Problems 13.2–13.4 refer to triangle ABC below.

13.2    Calculate

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