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 Sin

 http://functions.wolfram.com/01.06.16.0118.01

 Input Form

 a Sin[z] + b Cos[z] == a Sqrt[1 + b^2/a^2] Sin[z + ArcTan[b/a]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["a", " ", RowBox[List["Sin", "[", "z", "]"]]]], "+", RowBox[List["b", " ", RowBox[List["Cos", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List["a", SqrtBox[RowBox[List["1", "+", FractionBox[SuperscriptBox["b", "2"], SuperscriptBox["a", "2"]]]]], RowBox[List["Sin", "[", RowBox[List["z", "+", RowBox[List["ArcTan", "[", RowBox[List["b", "/", "a"]], "]"]]]], "]"]]]]]]]]

 MathML Form

 a sin ( z ) + b cos ( z ) a 1 + b 2 a 2 sin ( z + tan - 1 ( b a ) ) a z b z a 1 b 2 a 2 -1 1 2 z b a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["a_", " ", RowBox[List["Sin", "[", "z_", "]"]]]], "+", RowBox[List["b_", " ", RowBox[List["Cos", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["a", " ", SqrtBox[RowBox[List["1", "+", FractionBox[SuperscriptBox["b", "2"], SuperscriptBox["a", "2"]]]]], " ", RowBox[List["Sin", "[", RowBox[List["z", "+", RowBox[List["ArcTan", "[", FractionBox["b", "a"], "]"]]]], "]"]]]]]]]]

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

 2003-08-21