Difference between revisions of "Relationship between sine, imaginary number, logarithm, and the golden ratio"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "===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 [...")
(No difference)

Revision as of 09:16, 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.

Proof