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 Cos

 http://functions.wolfram.com/01.07.06.0006.01

 Input Form

 Cos[z]^2 == 1 + Sum[((-1)^k 2^(2 k - 1) z^(2 k))/(2 k)!, {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["Cos", "[", "z", "]"]], "2"], "\[Equal]", RowBox[List["1", "+", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], SuperscriptBox["2", RowBox[List[RowBox[List["2", " ", "k"]], "-", "1"]]], " ", SuperscriptBox["z", RowBox[List["2", " ", "k"]]]]], RowBox[List[RowBox[List["(", RowBox[List["2", " ", "k"]], ")"]], "!"]]]]]]]]]]]

 MathML Form

 cos 2 ( z ) 1 + k = 1 ( - 1 ) k 2 2 k - 1 z 2 k ( 2 k ) ! z 2 1 k 1 -1 k 2 2 k -1 z 2 k 2 k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["Cos", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List["1", "+", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], " ", SuperscriptBox["2", RowBox[List[RowBox[List["2", " ", "k"]], "-", "1"]]], " ", SuperscriptBox["z", RowBox[List["2", " ", "k"]]]]], RowBox[List[RowBox[List["(", RowBox[List["2", " ", "k"]], ")"]], "!"]]]]]]]]]]]

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

 2001-10-29