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ArcSinh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > Transformations > Related transformations > Differences involving the direct function > Involving cos-1(z)





http://functions.wolfram.com/01.25.16.0181.01









  


  










Input Form





ArcSinh[x] - ArcCos[y] == -2 I Pi (Floor[(-Arg[x + Sqrt[x^2 + 1]] - Arg[(I y + Sqrt[1 - y^2])^(-I)] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[x + Sqrt[x^2 + 1]]])/(2 Pi)] + Floor[(Re[Log[I y + Sqrt[1 - y^2]]] + Pi)/(2 Pi)]) + Log[(x + Sqrt[x^2 + 1])/(I y + Sqrt[1 - y^2])^I] - Pi/2










Standard Form





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MathML Form







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Rule Form





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





2007-05-02