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What is the Law of Sine?

 Oct 4, 2014

Best Answer 

 #1
avatar+23247 
+5

In a triangle whose angles are A, B, and C and whose opposite sides are a, b, and c, the Law of Sines can be

written as:     sin(A) / a  =  sin(B) / b  =  sin(C) / c          or as          a / sin(A)  =  b / sin(B)  =  c / sin(C)

If the unknown is an angle, use the formula on the left; if the unknown is a side, use the formula on the right     because an equation is easier to solve if the unknown is in the numerator.

In either case, you don't use the whole equation at one time, just the fraction that contains the unknown and the fraction that contains the two parts (angle and side) that you know.

 Oct 4, 2014
 #1
avatar+23247 
+5
Best Answer

In a triangle whose angles are A, B, and C and whose opposite sides are a, b, and c, the Law of Sines can be

written as:     sin(A) / a  =  sin(B) / b  =  sin(C) / c          or as          a / sin(A)  =  b / sin(B)  =  c / sin(C)

If the unknown is an angle, use the formula on the left; if the unknown is a side, use the formula on the right     because an equation is easier to solve if the unknown is in the numerator.

In either case, you don't use the whole equation at one time, just the fraction that contains the unknown and the fraction that contains the two parts (angle and side) that you know.

geno3141 Oct 4, 2014

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