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 ArcTan

 http://functions.wolfram.com/01.14.16.0140.01

 Input Form

 ArcTan[(z - 1)/(2 Sqrt[z])] == 2 ArcTan[Sqrt[z]] + Pi/2 /; Element[z, Reals] && -1 < z < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcTan", "[", FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", " ", SqrtBox["z"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", SqrtBox["z"], "]"]]]], "+", FractionBox["\[Pi]", "2"]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "0"]]]], ")"]]]]]]

 MathML Form

 tan - 1 ( z - 1 2 z ) π 2 + 2 tan - 1 ( z ) /; ( z - 1 < z < 0 ) Condition z -1 2 z 1 2 -1 2 -1 2 z 1 2 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["z_", "-", "1"]], RowBox[List["2", " ", SqrtBox["z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTan", "[", SqrtBox["z"], "]"]]]], "+", FractionBox["\[Pi]", "2"]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "0"]]]]]]]]]]

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

 2003-08-21