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 ArcCos

 http://functions.wolfram.com/01.13.16.0038.01

 Input Form

 ArcCos[Sqrt[z - 1]/Sqrt[z]] == Pi/2 - ArcCos[1/Sqrt[z]] /; Abs[Arg[z]] < Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCos", "[", FractionBox[SqrtBox[RowBox[List["z", "-", "1"]]], SqrtBox["z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", " ", RowBox[List["ArcCos", "[", FractionBox["1", SqrtBox["z"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 cos - 1 ( z - 1 z ) π 2 - cos - 1 ( 1 z ) /; "\[LeftBracketingBar]" arg ( z ) "\[RightBracketingBar]" < π Condition z -1 1 2 z 1 2 -1 2 -1 -1 1 z 1 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCos", "[", FractionBox[SqrtBox[RowBox[List["z_", "-", "1"]]], SqrtBox["z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["ArcCos", "[", FractionBox["1", SqrtBox["z"]], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Arg", "[", "z", "]"]], "]"]], "<", "\[Pi]"]]]]]]]]

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

 2003-08-21