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exsecant
EntityQ2282261· pop 10· linked from 27 articles

Also known as exsec, exs, exterior secant, external secant, outer secant, outward secant

thumb|upright=1.25|The exsecant and versine functions substitute for the expressions and which appear frequently in certain applications. thumb|upright=1.25|The names exsecant, versine, chord, etc. can also be applied to line segments related to a circular arc. The length of each segment is the radius times the corresponding trigonometric function of the angle.

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Exsecant and excosecant plot.png
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9 sections
Contents
  • Etymology
  • History and applications
  • Catastrophic cancellation for small angles
  • Mathematical identities
  • {{anchor|arcexsec}}Inverse function
  • Calculus
  • Double angle identity
  • See also
  • Notes and references

thumb|upright=1.25|The exsecant and versine functions substitute for the expressions and which appear frequently in certain applications. thumb|upright=1.25|The names exsecant, versine, chord, etc. can also be applied to line segments related to a circular arc. The length of each segment is the radius times the corresponding trigonometric function of the angle.

The external secant function (abbreviated exsecant, symbolized exsec) is a trigonometric function defined in terms of the secant function:

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