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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 (z2-1)1/2/z2)





http://functions.wolfram.com/01.17.27.1224.01









  


  








Input Form





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