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 ArcSin

 http://functions.wolfram.com/01.12.27.1094.01

 Input Form

 ArcSin[Sqrt[1 - z]/Sqrt[-2 z]] == Sqrt[(-1 + z)/z] Sqrt[z/(-1 + z)] (ArcSec[z]/2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["1", "-", "z"]]], SqrtBox[RowBox[List[RowBox[List["-", "2"]], " ", "z"]]]], "]"]], "\[Equal]", RowBox[List[SqrtBox[FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]], "z"]], " ", SqrtBox[FractionBox["z", RowBox[List[RowBox[List["-", "1"]], "+", "z"]]]], FractionBox[RowBox[List["ArcSec", "[", "z", "]"]], "2"]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["1", "-", "z_"]]], SqrtBox[RowBox[List[RowBox[List["-", "2"]], " ", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", SqrtBox[FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]], "z"]], " ", SqrtBox[FractionBox["z", RowBox[List[RowBox[List["-", "1"]], "+", "z"]]]], " ", RowBox[List["ArcSec", "[", "z", "]"]]]]]]]]

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

 2003-08-21