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 ArcCos

 http://functions.wolfram.com/01.13.27.0961.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21