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 ArcSin

 http://functions.wolfram.com/01.12.27.0825.01

 Input Form

 ArcSin[Sqrt[1/(z + 1)]] == Sqrt[1/(z + 1)] Sqrt[z + 1] (Pi/2 - ArcCot[1/Sqrt[z]])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSin", "[", SqrtBox[FractionBox["1", RowBox[List["z", "+", "1"]]]], "]"]], "\[Equal]", RowBox[List[SqrtBox[FractionBox["1", RowBox[List["z", "+", "1"]]]], SqrtBox[RowBox[List["z", "+", "1"]]], RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCot", "[", FractionBox["1", SqrtBox["z"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 sin - 1 ( 1 z + 1 ) 1 z + 1 z + 1 ( π 2 - cot - 1 ( 1 z ) ) 1 z 1 -1 1 2 1 z 1 -1 1 2 z 1 1 2 2 -1 -1 1 z 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", SqrtBox[FractionBox["1", RowBox[List["z_", "+", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[FractionBox["1", RowBox[List["z", "+", "1"]]]], " ", SqrtBox[RowBox[List["z", "+", "1"]]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCot", "[", FractionBox["1", SqrtBox["z"]], "]"]]]], ")"]]]]]]]]

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

 2003-08-21