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 ArcSec

 http://functions.wolfram.com/01.18.16.0004.01

 Input Form

 ArcSec[Sqrt[(2 z)/(z - 1)]] == (1/2) (Pi - Sqrt[1 - 1/z] Sqrt[z/(z - 1)] ArcSec[z])

 Standard Form

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

 MathML Form

 sec - 1 ( 2 z z - 1 ) 1 2 ( π - 1 - 1 z z z - 1 sec - 1 ( z ) ) 2 z z -1 -1 1 2 1 2 -1 1 -1 1 z -1 1 2 z z -1 -1 1 2 z [/itex]

 Rule Form

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

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

 2001-10-29