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 ArcSin

 http://functions.wolfram.com/01.12.27.0842.01

 Input Form

 ArcSin[Sqrt[-z]/Sqrt[-1 - z]] == Pi/2 + ArcCot[Sqrt[z]] /; Element[z, Reals] && z < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["-", "z"]]], SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", "z"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["ArcCot", "[", SqrtBox["z"], "]"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", "<", "0"]]]], ")"]]]]]]

 MathML Form

 sin - 1 ( - z - z - 1 ) cot - 1 ( z ) + π 2 /; ( z z < 0 ) Condition -1 z 1 2 -1 z -1 1 2 -1 z 1 2 2 -1 z z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["-", "z_"]]], SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["ArcCot", "[", SqrtBox["z"], "]"]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", "<", "0"]]]]]]]]]]

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

 2003-08-21