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variants of this functions
ArcTan






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.14.16.0199.01









  


  










Input Form





ArcTan[x] + ArcCot[y] == -ArcTan[(1 + x y)/(x - y)] - Pi Floor[(3 Pi - 2 Arg[1 + I x] + 2 Arg[x - y] - 2 Arg[1 - I y])/(4 Pi)] + Pi Floor[(Pi - 2 Arg[1 - I x] + 2 Arg[x - y] - 2 Arg[1 + I y])/(4 Pi)] + Pi Floor[-(Arg[1 - I y]/(2 Pi))] - Pi Floor[-(Arg[1 + I y]/(2 Pi))] + (Pi/2) (1 - Sqrt[y^2]/y)










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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