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 ArcCos

 http://functions.wolfram.com/01.13.16.0091.01

 Input Form

 ArcCos[(z Sqrt[1 - Sqrt[1 - z^2]])/(Sqrt[2] Sqrt[z^2])] == Pi/4 + ArcCos[z]/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCos", "[", FractionBox[RowBox[List["z", " ", SqrtBox[RowBox[List["1", "-", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]]], RowBox[List[SqrtBox["2"], " ", SqrtBox[SuperscriptBox["z", "2"]]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "4"], "+", FractionBox[RowBox[List["ArcCos", "[", "z", "]"]], "2"]]]]]]]

 MathML Form

 cos - 1 ( z 1 - 1 - z 2 2 z 2 ) π 4 + 1 2 cos - 1 ( z ) z 1 -1 1 -1 z 2 1 2 1 2 2 1 2 z 2 1 2 -1 4 -1 1 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCos", "[", FractionBox[RowBox[List["z_", " ", SqrtBox[RowBox[List["1", "-", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z_", "2"]]]]]]]]], RowBox[List[SqrtBox["2"], " ", SqrtBox[SuperscriptBox["z_", "2"]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["\[Pi]", "4"], "+", FractionBox[RowBox[List["ArcCos", "[", "z", "]"]], "2"]]]]]]]

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

 2003-08-21