ArcSec[x] + ArcSech[y] == -2 I Pi (Floor[(-Arg[(Sqrt[1 - 1/x^2] + I/x)^I] - Arg[Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y]])/(2 Pi)] + Floor[(Pi - Re[Log[Sqrt[1 - 1/x^2] + I/x]])/(2 Pi)]) + I (1 - (-1)^(Floor[-(Arg[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y) + 1]/(2 Pi))] - Floor[-(Arg[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y)]/(2 Pi))])) Pi - I (-1)^(Floor[Arg[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y) - 1]/(2 Pi) - Arg[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y) + 1]/ (2 Pi) + 1/2] + Floor[-(Arg[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y)]/Pi)]) ArcSec[(2 (Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y))/ ((Sqrt[1 - 1/x^2] + I/x)^(2 I) (Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y)^2 + 1)] + Pi/2

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2007-05-02