Sin[I ArcSinh[z]] == I z
Cell[BoxData[RowBox[List[RowBox[List["Sin", "[", RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", "z", "]"]]]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", "z"]]]]]]
<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> sin </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <msup> <mi> sinh </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mi> z </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sin /> <apply> <times /> <imaginaryi /> <apply> <arcsinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <imaginaryi /> <ci> z </ci> </apply> </apply> </annotation-xml> </semantics> </math>
Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sin", "[", RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", " ", "z"]]]]]]
2001-10-29
){kind=small}
