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 ArcTan

 http://functions.wolfram.com/01.14.16.0135.01

 Input Form

 ArcTan[(1 - z)/(2 Sqrt[z])] == 2 ArcTan[Sqrt[1/z]] - Pi/2 /; Abs[Arg[z]] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcTan", "[", FractionBox[RowBox[List["1", "-", "z"]], RowBox[List["2", " ", SqrtBox["z"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], "-", FractionBox["\[Pi]", "2"]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 tan - 1 ( 1 - z 2 z ) 2 tan - 1 ( 1 z ) - π 2 /; "\[LeftBracketingBar]" arg ( z ) "\[RightBracketingBar]" < π Condition 1 -1 z 2 z 1 2 -1 2 1 z -1 1 2 -1 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["1", "-", "z_"]], RowBox[List["2", " ", SqrtBox["z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], "-", FractionBox["\[Pi]", "2"]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]]]

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

 2003-08-21