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

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2003-08-21