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ArcCosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.26.27.1232.01









  


  








Input Form





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








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