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http://functions.wolfram.com/01.28.03.0009.01
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ArcCoth[-(I/Sqrt[3])] == (Pi I)/3
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Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", RowBox[List["-", FractionBox["\[ImaginaryI]", SqrtBox["3"]]]], "]"]], "\[Equal]", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "3"]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> coth </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mo> - </mo> <mfrac> <mi> ⅈ </mi> <msqrt> <mn> 3 </mn> </msqrt> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mi> π </mi> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mn> 3 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <arccoth /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <times /> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", RowBox[List["-", FractionBox["\[ImaginaryI]", SqrtBox["3"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "3"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
