Tangent as sine over cosine

Defines the tangent of an angle as the ratio of its sine to its cosine. It is used throughout trigonometry to relate angles to side ratios in right triangles and to periodic functions.

\tan x = \frac{\sin x}{\cos x}

What the symbols mean

angle (in radians or degrees)
tangent of the angle x, the ratio of opposite to adjacent side in a right triangle
sine of the angle x
cosine of the angle x, nonzero for the formula to apply

About this formula

  • FieldMathematics
  • TopicTrigonometry
  • LevelHigh school
  • Also calledtangent function, tan x definition, tan equals sin over cos, tangent ratio, tangent identity, trigonometric tangent
  • SourceWikidata Q1129196

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