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 ArcTan

 http://functions.wolfram.com/01.14.16.0111.01

 Input Form

 ArcTan[(2 Sqrt[z])/(1 - z)] == 2 ArcTan[Sqrt[1/z]] /; Element[z, Reals] && z < -1

 Standard Form

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

 MathML Form

 tan - 1 ( 2 z 1 - z ) 2 tan - 1 ( 1 z ) /; ( z z < - 1 ) Condition 2 z 1 2 1 -1 z -1 2 1 z -1 1 2 z z -1 [/itex]

 Rule Form

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

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

 2003-08-21

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