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ArcCos






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.13.16.0186.01









  


  










Input Form





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





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