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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/z1/2) > Involving tan-1(1/z1/2) and csc-1(z+1/2 z1/2)





http://functions.wolfram.com/01.14.27.0909.01









  


  








Input Form





ArcTan[1/Sqrt[z]] == (-(1/2)) ((1 - z)/(1 + z)) Sqrt[((z + 1)/(z - 1))^2] ArcCsc[(z + 1)/(2 Sqrt[z])] + (Pi/4) (-1 + 2 Sqrt[(z + 1)/z] Sqrt[z/(1 + z)] - ((-1 + z)/(1 + z)) Sqrt[((z + 1)/(z - 1))^2]) /; Abs[z] != 1








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