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 ArcCos

 http://functions.wolfram.com/01.13.16.0035.01

 Input Form

 ArcCos[(2 - z^2)/z^2] == Pi (1 - Sqrt[1/z^2] z) + 2 Sqrt[1/z^2] z ArcCos[1/z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCos", "[", FractionBox[RowBox[List["2", "-", SuperscriptBox["z", "2"]]], SuperscriptBox["z", "2"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["\[Pi]", RowBox[List["(", RowBox[List["1", "-", RowBox[List[SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z"]]]], ")"]]]], "+", RowBox[List["2", " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z", " ", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]]]]]]]]

 MathML Form

 cos - 1 ( 2 - z 2 z 2 ) π ( 1 - 1 z 2 z ) + 2 z 1 z 2 cos - 1 ( 1 z ) 2 -1 z 2 z 2 -1 1 -1 1 z 2 -1 1 2 z 2 z 1 z 2 -1 1 2 1 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCos", "[", FractionBox[RowBox[List["2", "-", SuperscriptBox["z_", "2"]]], SuperscriptBox["z_", "2"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[Pi]", " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List[SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z"]]]], ")"]]]], "+", RowBox[List["2", " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "z", " ", RowBox[List["ArcCos", "[", FractionBox["1", "z"], "]"]]]]]]]]]]

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

 2003-08-21