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 Csc

 http://functions.wolfram.com/01.10.23.0002.01

 Input Form

 Sum[Csc[(k Pi)/n]^2, {k, 1, n - 1}] == (1/3) (n^2 - 1) /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], RowBox[List["n", "-", "1"]]], SuperscriptBox[RowBox[List["Csc", "[", FractionBox[RowBox[List["k", " ", "\[Pi]"]], "n"], "]"]], "2"]]], "\[Equal]", RowBox[List[FractionBox["1", "3"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["n", "2"], "-", "1"]], ")"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 k = 1 n - 1 csc 2 ( k π n ) 1 3 ( n 2 - 1 ) /; n + Condition k 1 n -1 k n -1 2 1 3 n 2 -1 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], RowBox[List["n_", "-", "1"]]], SuperscriptBox[RowBox[List["Csc", "[", FractionBox[RowBox[List["k_", " ", "\[Pi]"]], "n_"], "]"]], "2"]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "3"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["n", "2"], "-", "1"]], ")"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2003-08-21