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 Cos

 http://functions.wolfram.com/01.07.16.0002.01

 Input Form

 Cos[a (b z^c)^m] == Cos[a b^m z^(m c)] /; Element[2 m, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cos", "[", RowBox[List["a", " ", SuperscriptBox[RowBox[List["(", RowBox[List["b", " ", SuperscriptBox["z", "c"]]], ")"]], "m"]]], "]"]], "\[Equal]", RowBox[List["Cos", "[", RowBox[List["a", " ", SuperscriptBox["b", "m"], " ", SuperscriptBox["z", RowBox[List["m", " ", "c"]]]]], "]"]]]], "/;", RowBox[List["Element", "[", RowBox[List[RowBox[List["2", " ", "m"]], ",", "Integers"]], "]"]]]]]]

 MathML Form

 cos ( a ( b z c ) m ) cos ( a b m z m c ) /; 2 m TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition a b z c m a b m z m c 2 m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cos", "[", RowBox[List["a_", " ", SuperscriptBox[RowBox[List["(", RowBox[List["b_", " ", SuperscriptBox["z_", "c_"]]], ")"]], "m_"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Cos", "[", RowBox[List["a", " ", SuperscriptBox["b", "m"], " ", SuperscriptBox["z", RowBox[List["m", " ", "c"]]]]], "]"]], "/;", RowBox[List[RowBox[List["2", " ", "m"]], "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29