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 Tanh

 http://functions.wolfram.com/01.21.16.0019.01

 Input Form

 Tanh[(I ArcCot[z])/2] == I ((Sqrt[z] Sqrt[-1 - z^2])/Sqrt[-z] - z)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Tanh", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[FractionBox[RowBox[List[SqrtBox["z"], " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", SuperscriptBox["z", "2"]]]]]], SqrtBox[RowBox[List["-", "z"]]]], "-", "z"]], ")"]]]]]]]]

 MathML Form

 tanh ( 2 cot - 1 ( z ) ) ( z - 1 - z 2 - z - z ) 2 -1 z z 1 2 -1 -1 z 2 1 2 -1 z 1 2 -1 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tanh", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[FractionBox[RowBox[List[SqrtBox["z"], " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", SuperscriptBox["z", "2"]]]]]], SqrtBox[RowBox[List["-", "z"]]]], "-", "z"]], ")"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29