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 Cos

 http://functions.wolfram.com/01.07.27.0047.01

 Input Form

 Cos[z] == (I Coth[I z])/Sqrt[1 - Coth[I z]^2] /; 0 < Re[z] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cos", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], " "]], SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Coth", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"]]]]]]], "/;", RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 cos ( z ) coth ( z ) 1 - coth 2 ( z ) /; 0 < Re ( z ) < π Condition z z 1 -1 z 2 1 2 -1 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cos", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["Coth", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]]]], SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Coth", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"]]]]], "/;", RowBox[List["0", "<", RowBox[List["Re", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

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

 2001-10-29