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Sinh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.19.03.0078.01









  


  










Input Form





Sinh[(9 Pi I)/10] == (I/4) (Sqrt[5] - 1)










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Sinh", "[", FractionBox[RowBox[List["9", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "10"], "]"]], "\[Equal]", RowBox[List[FractionBox["\[ImaginaryI]", "4"], " ", RowBox[List["(", RowBox[List[SqrtBox["5"], "-", "1"]], ")"]]]]]]]]










MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> sinh </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <mrow> <mn> 9 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 10 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mfrac> <mi> &#8520; </mi> <mn> 4 </mn> </mfrac> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msqrt> <mn> 5 </mn> </msqrt> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 10 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <imaginaryi /> <apply> <power /> <cn type='integer'> 4 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <apply> <power /> <cn type='integer'> 5 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinh", "[", FractionBox[RowBox[List["9", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "10"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "4"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[SqrtBox["5"], "-", "1"]], ")"]]]]]]]]










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





2001-10-29





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