Pythagorean trigonometric identity

The squared sine and squared cosine of any angle always add up to one, a consequence of the Pythagorean theorem applied to the unit circle. It is used to simplify trigonometric expressions and solve trigonometric equations.

\sin^2\theta + \cos^2\theta = 1

What the symbols mean

angle (in radians or degrees)

About this formula

  • FieldMathematics
  • TopicTrigonometry
  • LevelHigh school
  • Also calledPythagorean identity, first trigonometric identity, sin squared plus cos squared, trig identity sin cos 1
  • SourceWikidata Q2039117

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