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 ArcCos

 http://functions.wolfram.com/01.13.16.0023.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21