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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(-2+z2/2 (z2-1)1/2) > Involving tan-1(-2+z2/2 (z2-1)1/2) and csc-1(z)





http://functions.wolfram.com/01.14.27.1081.01









  


  










Input Form





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










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