An elegant formula for sin x

Whilst tinkering with a few mathematical identities, I came across a rather unusual formula for \sin x. I have absolutely no idea whether it’s well-known, but from what little I know, I haven’t come across it anywhere else.

I hope you’ll like it and find it just as interesting as I do.

P.S.: For the sake of clarity, I’ve included the process that led me to this formula.

If you have any questions or comments, please don’t hesitate to get in touch !

Truly yours, Uncle Scrooge.

Author: 7atsunee