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 Sinh

 http://functions.wolfram.com/01.19.16.0020.01

 Input Form

 Sinh[(I ArcCot[z])/2] == (I/Sqrt[2]) Sqrt[1/z^2] z Sqrt[1 - 1/Sqrt[1 + 1/z^2]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sinh", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " "]], SqrtBox["2"]], SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z", SqrtBox[RowBox[List["1", "-", FractionBox["1", SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]]]]]], " "]]]]]]

 MathML Form

 sinh ( 2 cot - 1 ( z ) ) 2 1 z 2 z 1 - 1 1 + 1 z 2 2 -1 z 2 1 2 -1 1 z 2 -1 1 2 z 1 -1 1 1 1 z 2 -1 1 2 -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z", " ", SqrtBox[RowBox[List["1", "-", FractionBox["1", SqrtBox[RowBox[List["1", "+", FractionBox["1", SuperscriptBox["z", "2"]]]]]]]]]]], SqrtBox["2"]]]]]]

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

 2001-10-29