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 ArcSin

 http://functions.wolfram.com/01.12.27.0132.01

 Input Form

 ArcSin[Sqrt[z + 1]/Sqrt[2 z]] == (1/2) Sqrt[1 + 1/z] Sqrt[z/(z + 1)] (Pi - ArcSec[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["z", "+", "1"]]], SqrtBox[RowBox[List["2", " ", "z"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", SqrtBox[RowBox[List["1", "+", FractionBox["1", "z"]]]], " ", SqrtBox[FractionBox["z", RowBox[List["z", "+", "1"]]]], RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["ArcSec", "[", "z", "]"]]]], ")"]]]]]]]]

 MathML Form

 sin - 1 ( z + 1 2 z ) 1 2 1 + 1 z z z + 1 ( π - sec - 1 ( z ) ) z 1 1 2 2 z 1 2 -1 1 2 1 1 z -1 1 2 z z 1 -1 1 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["z_", "+", "1"]]], SqrtBox[RowBox[List["2", " ", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", SqrtBox[RowBox[List["1", "+", FractionBox["1", "z"]]]], " ", SqrtBox[FractionBox["z", RowBox[List["z", "+", "1"]]]], " ", RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["ArcSec", "[", "z", "]"]]]], ")"]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.