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 Sin

 http://functions.wolfram.com/01.06.16.0023.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29