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ArcCosh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCosh[z] > Specific values > Values at fixed points





http://functions.wolfram.com/01.26.03.0011.01









  


  








Input Form





ArcCosh[(-(1/2)) Sqrt[(5 - Sqrt[5])/2]] == (7 Pi I)/10








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["ArcCosh", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SqrtBox[RowBox[List[FractionBox[RowBox[List["5", "-", SqrtBox["5"]]], "2"], " "]]]]], "]"]], "\[Equal]", FractionBox[RowBox[List["7", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "10"]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> cosh </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> &#8290; </mo> <msqrt> <mrow> <mfrac> <mrow> <mn> 5 </mn> <mo> - </mo> <msqrt> <mn> 5 </mn> </msqrt> </mrow> <mn> 2 </mn> </mfrac> <mtext> </mtext> </mrow> </msqrt> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 10 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <arccosh /> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <apply> <times /> <apply> <plus /> <cn type='integer'> 5 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <cn type='integer'> 5 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 10 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCosh", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SqrtBox[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["5", "-", SqrtBox["5"]]], ")"]]]]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["7", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "10"]]]]]


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





2001-10-29