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 ArcSec

 http://functions.wolfram.com/01.18.16.0038.01

 Input Form

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

 Standard Form

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

 MathML Form

 sec - 1 ( 2 z + 1 ) π - 1 2 sec - 1 ( 1 z ) /; ( z z < - 1 ) Condition 2 z 1 -1 1 2 -1 1 2 1 z -1 z z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSec", "[", SqrtBox[FractionBox["2", RowBox[List["1", "+", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[Pi]", "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcSec", "[", FractionBox["1", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", "<", RowBox[List["-", "1"]]]]]]]]]]]]

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

 2003-08-21