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ArcSec




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Representations through equivalent functions > With related functions > Involving sinh-1 > Involving sec-1(z2/2 (-1-z2)1/2) > Involving sec-1(z2/2 (-1-z2)1/2) and sinh-1(1/z)





http://functions.wolfram.com/01.18.27.1141.01









  


  








Input Form





ArcSec[z^2/(2 Sqrt[-1 - z^2])] == Pi/2 - ((z^3 Sqrt[-2 - z^2] Sqrt[-1 - z^2])/(2 Sqrt[1 - I z] (1 + I z) Sqrt[-2 - 3 z^2 - z^4])) Sqrt[(1 + z^2)/z^4] Sqrt[(I - z)/z] Sqrt[-(I/z)] (Pi (Sqrt[-(1/z^2)] z - I Sqrt[(z + I Sqrt[2])/z] Sqrt[I/z] Sqrt[(-I) z] Sqrt[z/(I Sqrt[2] + z)] + I Sqrt[(z - I Sqrt[2])/z] Sqrt[-(I/z)] Sqrt[I z] Sqrt[z/((-I) Sqrt[2] + z)] - (Sqrt[-((1 + z^2)/z^2)] Sqrt[(1 + z^2)/z^4] z^3)/(1 + z^2)) + 4 ArcSinh[1/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