law of sines

English

Noun

law of sines

1. (trigonometry) A statement that relates the lengths of the sides of a triangle to the sines of its angles.

Usage notes

Let a, b, and c be the lengths of the sides of a triangle opposite angles A, B, and C. The law of sines states that ${\frac {a}{\sin {A}}}\,=\,{\frac {b}{\sin {B}}}\,=\,{\frac {c}{\sin {C}}}\,=\,2R$, where R is the radius of the triangle's circumcircle.

Synonyms

• sine formula
• sine law
• sine rule

Translations

statement

• Finnish: sinilause
• German: Sinussatz (de) m
• Hungarian: szinusztétel (hu)
• Romanian: teorema sinusului f (definite)
• Tagalog: sinwaying batas

See also

• law of cosines