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http://functions.wolfram.com/01.21.16.0053.01
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Tanh[z] + Coth[z] == Cosh[2 z] Csch[z] Sech[z]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], "+", RowBox[List["Coth", "[", "z", "]"]]]], "\[Equal]", RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z"]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]]]]]]]]
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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> <mrow> <mi> tanh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <mi> coth </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ⩵ </mo> <mrow> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> csch </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sech </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <plus /> <apply> <tanh /> <ci> z </ci> </apply> <apply> <coth /> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <cosh /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> </apply> </apply> <apply> <csch /> <ci> z </ci> </apply> <apply> <sech /> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Tanh", "[", "z_", "]"]], "+", RowBox[List["Coth", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Cosh", "[", RowBox[List["2", " ", "z"]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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