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 Tanh

 http://functions.wolfram.com/01.21.16.0056.01

 Input Form

 Tanh[z] - I Tan[z] == Sec[z] Sech[z] Sinh[(Sqrt[2] z)/E^((I Pi)/4)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]]]], " ", "z"]], "]"]]]]]]]]

 MathML Form

 tanh ( z ) - tan ( z ) sec ( z ) sech ( z ) sinh ( 2 - 1 4 ( π ) z ) z -1 z z z 2 1 2 -1 1 4 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Tanh", "[", "z_", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", FractionBox["1", "4"]]], " ", RowBox[List["(", RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], ")"]]]]], " ", "z"]], "]"]]]]]]]]

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

 2003-08-21