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 Sin

 http://functions.wolfram.com/01.06.16.0112.01

 Input Form

 Sin[a ArcSin[z]] == (Sqrt[z^2]/z) Sin[(1/2) a ArcCos[1 - 2 z^2]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sin", "[", RowBox[List["a", " ", RowBox[List["ArcSin", "[", "z", "]"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[SqrtBox[SuperscriptBox["z", "2"]], "z"], " ", RowBox[List["Sin", "[", RowBox[List[FractionBox["1", "2"], " ", "a", " ", RowBox[List["ArcCos", "[", RowBox[List["1", "-", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], "]"]]]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sin", "[", RowBox[List["a_", " ", RowBox[List["ArcSin", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", RowBox[List["Sin", "[", RowBox[List[FractionBox["1", "2"], " ", "a", " ", RowBox[List["ArcCos", "[", RowBox[List["1", "-", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], "]"]]]], "]"]]]], "z"]]]]]

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

 2001-10-29