Probably the most based math I've ever seen
akariman !!PfcppGG/dig ID:ombRov/D No.17278481 View ViewReport Quoted By:
Based math incoming (100% kino)
sin(x) = sin(x)
(x)(1 - x/pi)( 1 + x/pi)(1 - x/2pi)( 1 + x/2pi)(1 - x/3pi)( 1 + x/3pi)... = x - x^3/3! + x^5/5! ...
(1 - x/pi)( 1 + x/pi)(1 - x/2pi)( 1 + x/2pi)(1 - x/3pi)( 1 + x/3pi)... = 1 - x^2/3! + x^4/5! ...
(1 - x^2/pi^2)(1 - x^2/4pi^2)(1 - x^2/9pi^2) ... = 1 - x^2/3! + x^4/5! ...
factor this out collect everything not to the power of 2 into a value called k
k -x/pi^2 - x^2/4pi^2 -x/9pi^2 ... = - x^2/3! + k
-x^2/pi^2 - x^2/4pi^2 -x^2/9pi^2 ... = -x^2/3!
-1/pi^2 - 1/4pi^2 -1/9pi^2 ... = -1/3!
1 + 1/4 -1/9 + 1/16 + 1/25 ... 1/n^2= pi^2/6