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 ArcSec

 http://functions.wolfram.com/01.18.16.0081.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21