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- Exsecant abstract "The exsecant, also abbreviated exsec, is a trigonometric function defined in terms of the secant function sec(θ):Once important in fields such as surveying, astronomy, and spherical trigonometry, the exsecant function is now little-used. Mainly, this is because the availability of calculators and computers has removed the need for trigonometric tables of specialized functions such as this one.A related function is the excosecant (excsc), the exsecant of the complementary angle:The reason to define a special function for the exsecant is similar to the rationale for the versine: for small angles θ, the sec(θ) function approaches one, and so using the above formula for the exsecant will involve the subtraction of two nearly equal quantities and exacerbate roundoff errors. Thus, a table of the secant function would need a very high accuracy to be used for the exsecant, making a specialized exsecant table useful. Even with a computer, floating point errors can be problematic for exsecants of small angles. A more accurate formula in this limit would be to use the identity:Prior to the availability of computers, this would require time-consuming multiplications.The name exsecant can be understood from a graphical construction, at right, of the various trigonometric functions from a unit circle, such as was used historically. sec(θ) is the secant , and the exsecant is the portion of this secant that lies exterior to the circle (ex is Latin for out of).".
- Exsecant thumbnail Exsecant_and_exosecant_plot.png?width=300.
- Exsecant wikiPageExternalLink trig.htm.
- Exsecant wikiPageID "1273836".
- Exsecant wikiPageRevisionID "543904983".
- Exsecant hasPhotoCollection Exsecant.
- Exsecant subject Category:Elementary_special_functions.
- Exsecant subject Category:Trigonometry.
- Exsecant type Abstraction100002137.
- Exsecant type ElementarySpecialFunctions.
- Exsecant type Function113783816.
- Exsecant type MathematicalRelation113783581.
- Exsecant type Relation100031921.
- Exsecant comment "The exsecant, also abbreviated exsec, is a trigonometric function defined in terms of the secant function sec(θ):Once important in fields such as surveying, astronomy, and spherical trigonometry, the exsecant function is now little-used.".
- Exsecant label "Exsecans".
- Exsecant label "Exsecant".
- Exsecant sameAs Exsecans.
- Exsecant sameAs m.04p671.
- Exsecant sameAs Q2282261.
- Exsecant sameAs Q2282261.
- Exsecant sameAs Exsecant.
- Exsecant wasDerivedFrom Exsecant?oldid=543904983.
- Exsecant depiction Exsecant_and_exosecant_plot.png.
- Exsecant isPrimaryTopicOf Exsecant.
