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http://functions.wolfram.com/01.29.16.0172.01
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ArcCsch[x] + ArcCot[y] ==
-2 I Pi (Floor[(-Arg[Sqrt[1 + 1/x^2] + 1/x] - Arg[(1 - I/y)^(I/2)] + Pi)/
(2 Pi)] + Floor[(Pi - Im[Log[Sqrt[1 + 1/x^2] + 1/x]])/(2 Pi)] +
Floor[(Pi - (1/2) Re[Log[1 - I/y]])/(2 Pi)]) -
2 I Pi (Floor[(-Arg[(Sqrt[1 + 1/x^2] + 1/x) (1 - I/y)^(I/2)] -
Arg[(1 + I/y)^(-(I/2))] + Pi)/(2 Pi)] +
Floor[(Pi - Im[Log[(Sqrt[1 + 1/x^2] + 1/x) (1 - I/y)^(I/2)]])/(2 Pi)] +
Floor[((1/2) Re[Log[1 + I/y]] + Pi)/(2 Pi)]) +
Log[((Sqrt[1 + 1/x^2] + 1/x) (1 - I/y)^(I/2))/(1 + I/y)^(I/2)]
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</apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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Date Added to functions.wolfram.com (modification date)
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