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 ArcSin

 http://functions.wolfram.com/01.12.27.0501.01

 Input Form

 ArcSin[(z - 1)/(z + 1)] == -2 ArcTan[Sqrt[z]] + (3 Pi)/2 /; Element[z, Reals] && z < -1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["z", "+", "1"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", "2"]], RowBox[List["ArcTan", "[", SqrtBox["z"], "]"]]]], "+", FractionBox[RowBox[List["3", "\[Pi]"]], "2"]]]]], "/;", " ", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", "<", RowBox[List["-", "1"]]]]]], ")"]]]]]]

 MathML Form

 sin - 1 ( z - 1 z + 1 ) - 2 tan - 1 ( z ) + 3 π 2 /; ( z z < - 1 ) Condition z -1 z 1 -1 -2 z 1 2 3 2 -1 z z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[RowBox[List["z_", "-", "1"]], RowBox[List["z_", "+", "1"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["ArcTan", "[", SqrtBox["z"], "]"]]]], "+", FractionBox[RowBox[List["3", " ", "\[Pi]"]], "2"]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", "<", RowBox[List["-", "1"]]]]]]]]]]]]

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

 2003-08-21