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 ArcSin

 http://functions.wolfram.com/01.12.27.0954.01

 Input Form

 ArcSin[z] == Pi/2 - 2 ArcCsc[Sqrt[2/(1 - z)]] /; !IntervalMemberQ[Interval[{1, Infinity}], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["2", " ", RowBox[List["ArcCsc", "[", SqrtBox[FractionBox["2", RowBox[List["1", "-", "z"]]]], "]"]]]]]]]], "/;", RowBox[List["Not", "[", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List["1", ",", "\[Infinity]"]], "}"]], "]"]], ",", "z"]], "]"]], "]"]]]]]]

 MathML Form

 sin - 1 ( z ) π 2 - 2 csc - 1 ( 2 1 - z ) /; z ( 1 , ) sin - 1 ( z ) π 2 - 2 csc - 1 ( 2 1 - z ) /; z ( 1 , ) [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["2", " ", RowBox[List["ArcCsc", "[", SqrtBox[FractionBox["2", RowBox[List["1", "-", "z"]]]], "]"]]]]]], "/;", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List["1", ",", "\[Infinity]"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]]

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

 2003-08-21