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 Cot

 http://functions.wolfram.com/01.09.27.0043.01

 Input Form

 Cot[z] == (Sqrt[z^2]/z) (1/Sqrt[Sec[z]^2 - 1]) /; Abs[Re[z]] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cot", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox[SqrtBox[SuperscriptBox["z", "2"]], RowBox[List["z", " "]]], FractionBox["1", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Sec", "[", "z", "]"]], "2"], "-", "1"]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 cot ( z ) z 2 z 1 sec 2 ( z ) - 1 /; "\[LeftBracketingBar]" Re ( z ) "\[RightBracketingBar]" < π 2 Condition z z 2 1 2 z -1 1 z 2 -1 1 2 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SqrtBox[SuperscriptBox["z", "2"]], RowBox[List["z", " ", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Sec", "[", "z", "]"]], "2"], "-", "1"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2001-10-29