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 Sin

 http://functions.wolfram.com/01.06.27.0023.01

 Input Form

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

 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[SqrtBox[RowBox[List[FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]], "+", "1"]]], " ", "b", " ", RowBox[List["Cos", "[", RowBox[List["z", "-", RowBox[List["ArcTan", "[", FractionBox["a", "b"], "]"]]]], "]"]]]]]]]]

 MathML Form

 a sin ( z ) + b cos ( z ) a 2 b 2 + 1 b cos ( z - tan - 1 ( a b ) ) a z b z a 2 b 2 -1 1 1 2 b z -1 a b -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[SqrtBox[RowBox[List[FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]], "+", "1"]]], " ", "b", " ", RowBox[List["Cos", "[", RowBox[List["z", "-", RowBox[List["ArcTan", "[", FractionBox["a", "b"], "]"]]]], "]"]]]]]]]]

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

 2001-10-29