Law of sines

Relates the length of each side of any triangle to the sine of its opposite angle, with all three ratios equal. It is used to solve triangles when two angles and a side, or two sides and a non-included angle, are known.

\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}

What the symbols mean

lengths of the sides of the triangle, opposite angles A, B and C respectively
interior angles of the triangle at the vertices opposite sides a, b and c

About this formula

  • FieldMathematics
  • TopicTrigonometry
  • LevelHigh school
  • Also calledsine law, sine rule, sine formula
  • SourceWikidata Q170181

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