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 ArcCsc

 http://functions.wolfram.com/01.17.16.0046.01

 Input Form

 ArcCsc[Sqrt[2/(1 - z)]] == -(Pi/4) + (1/2) ArcCsc[1/z] /; Element[z, Reals] && z > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsc", "[", SqrtBox[FractionBox["2", RowBox[List["1", "-", "z"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "4"]]], "+", RowBox[List[FractionBox[RowBox[List["1", " "]], "2"], RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]]]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", ">", "1"]]]], ")"]]]]]]

 MathML Form

 csc - 1 ( 2 1 - z ) 1 2 csc - 1 ( 1 z ) - π 4 /; ( z z > 1 ) Condition 2 1 -1 z -1 1 2 1 2 1 z -1 -1 4 -1 z 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[RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "4"]]], "+", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", ">", "1"]]]]]]]]]]

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

 2003-08-21