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 Coth

 http://functions.wolfram.com/01.22.03.0066.01

 Input Form

 Coth[(7 Pi I)/9] == (-1 + (-1)^(5/9))/(1 + (-1)^(5/9))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Coth", "[", FractionBox[RowBox[List["7", "\[Pi]", " ", "\[ImaginaryI]"]], "9"], "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "9"]]]]], RowBox[List["1", "+", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "9"]]]]]]]]]]

 MathML Form

 coth ( 7 π 9 ) - 1 + ( - 1 ) 5 / 9 1 + ( - 1 ) 5 / 9 7 9 -1 -1 -1 5 9 1 -1 5 9 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", FractionBox[RowBox[List["7", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "9"], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "9"]]]]], RowBox[List["1", "+", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["5", "/", "9"]]]]]]]]]]

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

 2001-10-29