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 Csch

 http://functions.wolfram.com/01.23.19.0002.01

 Input Form

 Im[Csch[x + I y]] == (2 Cosh[x] Sin[y])/(Cos[2 y] - Cosh[2 x])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Im", "[", RowBox[List["Csch", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", FractionBox[RowBox[List["2", " ", RowBox[List["Cosh", "[", "x", "]"]], " ", RowBox[List["Sin", "[", "y", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "-", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]

 MathML Form

 Im ( csch ( x + y ) ) 2 cosh ( x ) sin ( y ) cos ( 2 y ) - cosh ( 2 x ) x y 2 x y 2 y -1 2 x -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Im", "[", RowBox[List["Csch", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["Cosh", "[", "x", "]"]], " ", RowBox[List["Sin", "[", "y", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "-", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]

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

 2001-10-29