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 Tan

 http://functions.wolfram.com/01.08.27.0068.01

 Input Form

 Tan[z] == (-(Sqrt[-z^2]/z)) (1/Sqrt[Csch[I z]^2 + 1]) /; Im[z] != 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tan", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], RowBox[List["z", " "]]]]], FractionBox["1", RowBox[List[" ", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Csch", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"], "+", "1"]]]]]]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]

 MathML Form

 tan ( z ) - - z 2 z 1 csch 2 ( z ) + 1 /; Im ( z ) 0 Condition z -1 -1 z 2 1 2 z -1 1 z 2 1 1 2 -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tan", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], RowBox[List["z", " ", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Csch", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"], "+", "1"]]]]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]]]

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

 2001-10-29

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