
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.
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:
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).