html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcCos

 http://functions.wolfram.com/01.13.16.0004.02

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29