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 Tan

 http://functions.wolfram.com/01.08.16.0025.01

 Input Form

 Tan[(I ArcCoth[z])/2] == ((I z)/Sqrt[z^2]) (Sqrt[z^2] - Sqrt[z^2 - 1])

 Standard Form

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

 MathML Form

 tan ( 2 coth - 1 ( z ) ) z z 2 ( z 2 - z 2 - 1 ) 2 -1 z z z 2 1 2 -1 z 2 1 2 -1 z 2 -1 1 2 [/itex]

 Rule Form

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

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

 2001-10-29