User:PullToOpen/Law of sines

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In trigonometry, the Law of sines is a relationship (or proportion) of angles in a non-right triangle. If the sides of a triangle are a, b, and c, and the angles are A, B, and C, then the law of sines states:

{a \over \sin A}={b \over \sin B}={c \over \sin C}=2R\,


where R is the radius of the circumcircle.

[edit] Examples

Given

A = 300, a = 12, b = 6


{12 \over \sin 30}={6 \over \sin B}


12(sinB) = 3


\sin B = {1 \over 4}


B \approx 14.47^0