law of sines

English

Noun

(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

Translations

statement

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