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 Csc

 http://functions.wolfram.com/01.10.24.0001.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21