Can someone break down this identity to me? I know it's the most beautiful mathematic proof, but I've never seen anyone prove it

>>16725575 (OP)
Write out the taylor series for cosx and - sinx then factor the second series by i. Wa la

>>16725575 (OP)
Anon, there are youtube videos out there explaining that. Basically is just rotating a one 180 degrees (π radians) so you get minus one, add one and you get zero.
Any smart kid who knows algebra and Taylor series of sin, cos and e can deduce Euler's formula.

>>16725575 (OP)
>but I've never seen anyone prove it
quit your lying

I have no idea what it means, and I’m pretty sure that no one else does either, but it is the most profound thing that I have ever seen in my life.

Can we please ban Americans from this board?

>>16725649
The board is american, it was built in america by americans and is hosted on servers in america, if you blocked america, you wouldn't have access to the board.

>rotation of a unit vector by 180° will land it in -1
wow so beautiful and profound

>>16725659
It is a mathematical formula made entirely of constant valued numbers, not a geometric sequence involving rotations over time.

>>16725658
That's a fine outcome.

>>16725678
Its the same outcome as if you just banned yourself from coming to american boards all the time instead of whining to americans to fix your addiction to american content for you.

>>16725575 (OP)
Prove Euler's identity and you're done.

>>16725575 (OP)
You have to be 18 to post on this board

>>16725658
Then we must move it.

>>16725712
No, you must go back and quit leeching off american culture only to complain about how incompatible it is with your shithole mindset.

>>16725696
Euler's *formula
https://en.wikipedia.org/wiki/Euler%27s_formula#Proofs