Sine in a right triangle

The sine of an acute angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. It is used to find unknown sides or angles of right triangles.

\sin(\alpha) = \frac{b}{c}

What the symbols mean

an acute angle of the right triangle
length of the side opposite the angle \alpha (cathetus)
length of the hypotenuse

About this formula

  • FieldMathematics
  • TopicTrigonometry
  • LevelHigh school
  • Also calledsin, sine ratio, sine definition, opposite over hypotenuse, sin formula, sine of an angle
  • SourceWikidata Q152415

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