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In a right triangle,

  • the sine (sin) of one of the acute angles is the length of the opposite side divided by the length of the hypotenuse.
  • the cosine (cos) is the length of the adjacent side divided by the length of the hypotenuse.
  • the tangent (tan) is the length of the opposite side divided by the length of the adjacent side.

The three others, cotangent, secant and cosecant, are merely reciprocals of the first three.

The inverse functions, arcsine, arccosine, and arctangent respectively, each takes as an input the ratio of two sides and outputs an angle.

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