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Red 47:
Za funkcije exsekansa i exkosekansa postoje i inverzne funkcije '''arcexsekans'''<ref name="Vlijmen_2005" /> (''skr.'' '''arcexsec''',<ref name="Vlijmen_2005" /> '''aexsec''',<ref name="Simpson_2001" /><ref name="Doel_2010" /> '''aexs''', '''exsec<sup>−1</sup>''') i '''arcexkosekans''' (''skr.'' '''arcexcosec''', '''arcexcsc''', '''aexcsc''', '''aexc''', '''excsc<sup>−1</sup>''') definisane kao:
: <math>\operatorname{arcexsec}(y) = \arcsec(y+1) = \arccos\left(\frac{1}{y+1}\right) = \arctan(\sqrt{y^2+2y})</math><ref name="Vlijmen_2005" /><ref name="Simpson_2001">{{cite web|url=http://www.davidgsimpson.com/software/auxtrig_f90.txt|title=AUXTRIG|date=2001-11-08|publisher=[[NASA Goddard Space Flight Center]]|location=Greenbelt, Maryland, USA|type=[[Fortran 90]] source code|url-status=
: <math>\operatorname{arcexcsc}(y) = \arccsc(y+1) = \arcsin\left(\frac{1}{y+1}\right)\,</math>
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