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 Sin

 http://functions.wolfram.com/01.06.16.0109.01

 Input Form

 (Cos[z] - I Sin[z])^n == E^((-I) n z) /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["Cos", "[", "z", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Sin", "[", "z", "]"]]]]]], ")"]], "n"], "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "n", " ", "z"]]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["n", ",", "Integers"]], "]"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 ( cos ( z ) - sin ( z ) ) n - n z /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] + Condition z -1 z n -1 n z n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["Cos", "[", "z_", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Sin", "[", "z_", "]"]]]]]], ")"]], "n_"], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "n", " ", "z"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29