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 ArcCsc

 http://functions.wolfram.com/01.17.16.0021.01

 Input Form

 ArcCsc[1/(2 z^2 - 1)] == -(Pi/2) + 2 ArcCsc[1/z] /; Inequality[-(Pi/2), Less, Arg[z], LessEqual, Pi/2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsc", "[", FractionBox["1", RowBox[List[RowBox[List["2", SuperscriptBox["z", "2"]]], "-", "1"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "+", RowBox[List["2", " ", RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 csc - 1 ( 1 2 z 2 - 1 ) - π 2 + 2 csc - 1 ( 1 z ) /; - π 2 < arg ( z ) π 2 Condition 1 2 z 2 -1 -1 -1 2 -1 2 1 z -1 Inequality -1 2 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsc", "[", FractionBox["1", RowBox[List[RowBox[List["2", " ", SuperscriptBox["z_", "2"]]], "-", "1"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "+", RowBox[List["2", " ", RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "<", RowBox[List["Arg", "[", "z", "]"]], "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2003-08-21