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 Sin

 http://functions.wolfram.com/01.06.16.0026.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29