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ArcCsch






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCsch[z] > Transformations > Related transformations > Sums involving the direct function > Involving sin-1(z)





http://functions.wolfram.com/01.29.16.0160.01









  


  










Input Form





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










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