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

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2003-08-21