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 ArcSec

 http://functions.wolfram.com/01.18.16.0064.01

 Input Form

 ArcSec[Sqrt[(2 z)/(z + 1)]] == Pi - (1/2) ArcSec[z] /; Element[z, Reals] && -1 < z < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcSec", "[", SqrtBox[FractionBox[RowBox[List["2", " ", "z"]], RowBox[List["z", "+", "1"]]]], "]"]], "\[Equal]", RowBox[List["\[Pi]", "-", RowBox[List[FractionBox["1", "2"], RowBox[List["ArcSec", "[", "z", "]"]]]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "0"]]]], ")"]]]]]]

 MathML Form

 sec - 1 ( 2 z z + 1 ) π - 1 2 sec - 1 ( z ) /; ( z - 1 < z < 0 ) Condition 2 z z 1 -1 1 2 -1 1 2 z z -1 z 0 [/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[RowBox[List["\[Pi]", "-", FractionBox[RowBox[List["ArcSec", "[", "z", "]"]], "2"]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "0"]]]]]]]]]]

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

 2003-08-21