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 Tanh

 http://functions.wolfram.com/01.21.16.0021.01

 Input Form

 Tanh[(I ArcSec[z])/2] == (I Sqrt[-1 + z] Sqrt[-z])/(Sqrt[-1 - z] Sqrt[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Tanh", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSec", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], " ", SqrtBox[RowBox[List["-", "z"]]]]], RowBox[List[SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", "z"]]], " ", SqrtBox["z"]]]]]]]]

 MathML Form

 tanh ( 2 sec - 1 ( z ) ) - 1 + z - z - 1 - z z 2 -1 z -1 z 1 2 -1 z 1 2 -1 -1 z 1 2 z 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tanh", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcSec", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], " ", SqrtBox[RowBox[List["-", "z"]]]]], RowBox[List[SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", "z"]]], " ", SqrtBox["z"]]]]]]]]

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

 2001-10-29