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ArcCos






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.13.16.0159.01









  


  










Input Form





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