ArcCsc[z] == (1/4) (Pi (Sqrt[(1 - z^2)/z^2]/(Sqrt[(1 - z^2)/z^4] z) + Sqrt[1/z^2] z + Sqrt[(Sqrt[2] - z)/z] Sqrt[1/z] Sqrt[z] Sqrt[z/(Sqrt[2] - z)] - Sqrt[-(1/z)] Sqrt[-z] Sqrt[-(z/(Sqrt[2] + z))] Sqrt[-((Sqrt[2] + z)/z)]) - 2 ((Sqrt[z^2] Sqrt[1 - z^2])/ (z Sqrt[z^2 - 1])) ArcTanh[(2 Sqrt[1 - z^2])/(-2 + z^2)])

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2003-08-21