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 ArcSin

 http://functions.wolfram.com/01.12.27.0107.01

 Input Form

 ArcSin[Sqrt[z^2 - 1]/z] == (Pi Sqrt[z^2])/(2 z) - ArcCsc[z] /; Re[z] != 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]], "z"], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", SqrtBox[SuperscriptBox["z", "2"]]]], RowBox[List["2", " ", "z"]]], "-", RowBox[List["ArcCsc", "[", "z", "]"]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]

 MathML Form

 sin - 1 ( z 2 - 1 z ) π z 2 2 z - csc - 1 ( z ) /; Re ( z ) 0 Condition z 2 -1 1 2 z -1 z 2 1 2 2 z -1 -1 z z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List[SuperscriptBox["z_", "2"], "-", "1"]]], "z_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", SqrtBox[SuperscriptBox["z", "2"]]]], RowBox[List["2", " ", "z"]]], "-", RowBox[List["ArcCsc", "[", "z", "]"]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]]]

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

 2001-10-29