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





http://functions.wolfram.com/01.14.27.1370.01









  


  










Input Form





ArcTan[(2 z Sqrt[1 - z^2])/(1 - 2 z^2)] == -2 ArcSec[1/z] - (Pi/2) (Sqrt[1/z] Sqrt[z] Sqrt[1/(-1 + Sqrt[2] z)] Sqrt[-1 + Sqrt[2] z] - Sqrt[-(1/z)] Sqrt[-z] Sqrt[-1 - Sqrt[2] z] Sqrt[-(1/(1 + Sqrt[2] z))] + Sqrt[z^2]/z + (z Sqrt[-1 + z^2])/ Sqrt[-z^2 + z^4] - 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