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Law of Sines&Cosines

Law of Sines&Cosines - The Law of Sines should not...

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Law of Sines SinA a SinB b SinC c = = Law of Cosines a b c bcCosA b a c acCosB c a b abCosC 2 2 2 2 2 2 2 2 2 2 2 2 = + - = + - = + - Reminders: The Law of Cosines involves 3 sides, so it WILL NOT WORK for (ASA) or (AAS) where there are 2 unknown sides. The Law of Sines involves the ratio of the Sine of an angle to the length of its opposite side, so it WILL NOT WORK where no angle is known (SSS) or where only one angle is known without its opposite side (SAS).
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Unformatted text preview: The Law of Sines should not be used to find angle measures unless it is known in advance if the angle is obtuse or acute. There may only be ONE obtuse angle in a triangle, if any. Suggested Use: Law of Cosines Law of Sines SSS ASA all produce only one SAS AAS possible triangle SSA* SSA* Ambiguous Case 0,1,2 possible triangles...
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