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ArcCot






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.16.27.1101.01









  


  










Input Form





ArcCot[(1 - 2 z^2)/(2 z Sqrt[1 - z^2])] == 2 ArcCsc[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])










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