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 Cos

 http://functions.wolfram.com/01.07.23.0024.01

 Input Form

 Sum[k Cos[k x], {k, 1, Infinity}] == (-(1/4)) Csc[x/2]^2 /; Element[x, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["k", " ", RowBox[List["Cos", "[", RowBox[List["k", " ", "x"]], "]"]]]]]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox["1", "4"]]], SuperscriptBox[RowBox[List["Csc", "[", FractionBox["x", "2"], "]"]], "2"]]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]

 MathML Form

 k = 1 k cos ( k x ) - 1 4 csc 2 ( x 2 ) /; x Condition k 1 k k x -1 1 4 x 2 -1 2 x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], RowBox[List["k_", " ", RowBox[List["Cos", "[", RowBox[List["k_", " ", "x_"]], "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", FractionBox["1", "4"]]], " ", SuperscriptBox[RowBox[List["Csc", "[", FractionBox["x", "2"], "]"]], "2"]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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

 2007-05-02