The Law of Sines
The Law of Sines
The Law of Sines is a relationship among the angles and sides of a triangle. The ratio of the sine of any of the interior angles to the length of the side opposite that angle is the same for all three interior angles. In symbols, .
sin(A)
α
sin(B)
β
sin(C)
γ
Suppose angle is a right angle. Then , and the formula becomes and . In other words, the sine is the opposite side over the hypotenuse.
C
sin(C)=1
sin(A)=
α
γ
sin(B)=
β
γ