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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.14.27.1088.01









  


  








Input Form





ArcTan[(1 - 2 z^2)/(2 z Sqrt[1 - z^2])] == -2 ArcCsc[1/z] + (Sqrt[z^2]/z + Sqrt[I z] Sqrt[-(I/z)] - Sqrt[(-I) z] Sqrt[I/z] + Sqrt[z + 1] Sqrt[1/(z + 1)] - Sqrt[-z + 1] Sqrt[1/(-z + 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)





2003-08-21