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 ArcCsc

 http://functions.wolfram.com/01.17.16.0047.01

 Input Form

 ArcCsc[Sqrt[2/(1 - z)]] == (1/2) Sqrt[1/(1 - z)] Sqrt[1 - z] (Pi/2 - ArcCsc[1/z])

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21