Ankur Handa on Twitter: "@InertialObservr If you plug t = 1/pi in the last two equations you arrive at the result. This one extends from the Basel problem also used to obtain
Solved Show that the sum of the series sigma_n = 1^infinity | Chegg.com
Fibonacci sequence - Wikipedia
sequences and series - Using roots of unity to prove that $\cos\frac{\pi }{2n}\cos\frac{2\pi}{2n}\cdots\cos\frac{(n-1)\pi}{2n}=\frac{\sqrt{n}}{2^{n-1}}$ - Mathematics Stack Exchange
Sum of 1/n^2 - YouTube
Fourier Series: Sum of (1/n^2) = pi^2/6 - YouTube
Solved 2 Euler's truly beautiful sum Using Parseval's | Chegg.com
Basel problem - Wikipedia
Let n be a positive integer such that `sin(pi/2^n)+cos(pi/2^n)=sqrt n/2` ,then - YouTube
Interesting approach proof sum 1/n^4= pi^4/90. No Fourier expansion, no Taylor series. No calculus - YouTube
What's an intuitive explanation of the following mathematical fact: [math]\displaystyle \sum_{n=1}^{\infty}{\frac{1}{n^2}} = \frac{\pi^2}{6}[/math]? - Quora
Proof by intuition done by Leonhard Euler, sum of 1/n^2, (feat. Max) - YouTube
sequences and series - Are there any visual proofs for $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$? - Mathematics Stack Exchange
PDF) A Short Elementary Proof of Σ 1/k 2 = π 2 /6
Prove some formulas for given infinite sums - Stumbling Robot