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ArcSec






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Complex characteristics > Argument





http://functions.wolfram.com/01.18.19.0004.01









  


  










Input Form





Arg[ArcSec[x + I y]] == ArcTan[ Pi - 2 ArcTan[(y + (x^2 + y^2) ((x^4 + 2 x^2 (-1 + y^2) + (1 + y^2)^2)/ (x^2 + y^2)^2)^(1/4) Cos[(1/2) ArcTan[1 + (-x^2 + y^2)/(x^2 + y^2)^2, (2 x y)/(x^2 + y^2)^2]])/(x^2 + y^2), (x + (x^2 + y^2) ((x^4 + 2 x^2 (-1 + y^2) + (1 + y^2)^2)/(x^2 + y^2)^2)^ (1/4) Sin[(1/2) ArcTan[1 + (-x^2 + y^2)/(x^2 + y^2)^2, (2 x y)/(x^2 + y^2)^2]])/(x^2 + y^2)], 2 Log[Sqrt[(y/(x^2 + y^2) + ((x^4 + 2 x^2 (-1 + y^2) + (1 + y^2)^2)/ (x^2 + y^2)^2)^(1/4) Cos[(1/2) ArcTan[1 + (-x^2 + y^2)/ (x^2 + y^2)^2, (2 x y)/(x^2 + y^2)^2]])^2 + (x/(x^2 + y^2) + ((x^4 + 2 x^2 (-1 + y^2) + (1 + y^2)^2)/(x^2 + y^2)^2)^ (1/4) Sin[(1/2) ArcTan[1 + (-x^2 + y^2)/(x^2 + y^2)^2, (2 x y)/(x^2 + y^2)^2]])^2]]]










Standard Form





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MathML Form







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type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <ci> x </ci> <ci> y </ci> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> y </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <apply> <plus /> <apply> <power /> <ci> x </ci> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <plus /> <apply> <power /> <ci> y </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <apply> <power /> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> y </ci> <cn type='integer'> 2 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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