Difference between revisions of "Relationship between sine, imaginary number, logarithm, and the golden ratio"
From specialfunctionswiki
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==Proof== | ==Proof== | ||
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| + | ==References== | ||
| + | [http://www.johndcook.com/blog/2014/02/17/imaginary-gold/ "Imaginary gold" by John D. Cook]<br /> | ||
| + | [https://plus.google.com/u/0/+AndrewStacey/posts/Yvki1GcVywF]<br /> | ||
Revision as of 09:19, 5 June 2016
Theorem
The following formula holds: $$2\sin(i \log(\varphi))=i,$$ where $\sin$ denotes the sine function, $i$ denotes the imaginary number, $\log$ denotes the logarithm, and $\varphi$ denotes the golden ratio.
