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 ArcSin

 http://functions.wolfram.com/01.12.27.0718.01

 Input Form

 ArcSin[z] == (3 Pi)/2 - 2 ArcCot[Sqrt[z - 1]/Sqrt[-z - 1]] /; Element[z, Reals] && z > 1

 Standard Form

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

 MathML Form

 sin - 1 ( z ) 3 π 2 - 2 cot - 1 ( z - 1 - z - 1 ) /; ( z z > 1 ) Condition z 3 2 -1 -1 2 z -1 1 2 -1 z -1 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[RowBox[List["3", " ", "\[Pi]"]], "2"], "-", RowBox[List["2", " ", RowBox[List["ArcCot", "[", FractionBox[SqrtBox[RowBox[List["z", "-", "1"]]], SqrtBox[RowBox[List[RowBox[List["-", "z"]], "-", "1"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", ">", "1"]]]]]]]]]]

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

 2003-08-21