Sec-1 (other)
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Sec-1 (other)
Sec-1, SEC-1, sec-1, or sec−1 may refer to: * sec ''x''−1 = sec(''x'')−1 = exsec(''x'') or exsecant of ''x'', an old trigonometric function * sec−1''y'' = sec−1(''y''), sometimes interpreted as arcsec(''y'') or arcsecant of ''y'', the compositional inverse of the trigonometric function secant (see below for ambiguity) * sec−1''x'' = sec−1(''x''), sometimes interpreted as (sec(''x''))−1 = = cos(''x'') or cosine of ''x'', the multiplicative inverse (or reciprocal) of the trigonometric function secant (see above for ambiguity) * sec ''x''−1, sometimes interpreted as sec(''x''−1) = sec(), the secant of the multiplicative inverse (or reciprocal) of ''x'' (see below for ambiguity) * sec ''x''−1, sometimes interpreted as (sec(''x''))−1 = = cos(''x'') or cosine of ''x'', the multiplicative inverse (or reciprocal) of the trigonometric function secant (see above for ambiguity) See also * Second (time) *Second (angle ...
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Exsecant
The exsecant (exsec, exs) and excosecant (excosec, excsc, exc) are trigonometric functions defined in terms of the secant and cosecant functions. They used to be important in fields such as surveying, railway engineering, civil engineering, astronomy, and spherical trigonometry and could help improve accuracy, but are rarely used today except to simplify some calculations. Exsecant The exsecant, (Latin: ''secans exterior'') also known as exterior, external, outward or outer secant and abbreviated as exsec or exs, is a trigonometric function defined in terms of the secant function sec(''θ''): \operatorname(\theta) = \sec(\theta) - 1 = \frac - 1. The name ''exsecant'' can be understood from a graphical construction of the various trigonometric functions from a unit circle, such as was used historically. sec(''θ'') is the secant line , and the exsecant is the portion of this secant that lies ''exterior'' to the circle (''ex'' is Latin for ''out of''). Excosecant A relat ...
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