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ArcCsc




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCsc[z] > Representations through equivalent functions > With related functions > Involving cosh-1 > Involving csc-1(z) > Involving csc-1(z) and cosh-1(2/z(1-1/z2)1/2)





http://functions.wolfram.com/01.17.27.1221.01









  


  








Input Form





ArcCsc[z] == (1/4) (Pi ((Sqrt[1/z^4 - 1/z^2] z)/Sqrt[-1 + 1/z^2] + Sqrt[1/z^2] z + Sqrt[1 - Sqrt[2]/z] Sqrt[-(1/z)] Sqrt[-z] Sqrt[z/(-Sqrt[2] + z)] - Sqrt[1/z] Sqrt[z] Sqrt[z/(Sqrt[2] + z)] Sqrt[(Sqrt[2] + z)/z]) - (2 Sqrt[-1 + 1/z^2] Sqrt[-1 + 2/z^2] Sqrt[-(1/z^2)] (Pi/2 + (z/(-2 Sqrt[1 - 1/z^2] + z)) Sqrt[(-(1/z^2)) (-2 Sqrt[1 - 1/z^2] + z)^2] ArcCosh[(2 Sqrt[1 - 1/z^2])/z]))/(Sqrt[1 - 2/z^2] Sqrt[1/z^4 - 1/z^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)





2003-08-21