Evaluating $\prod_{k=1}^m \tan \frac{k\pi}{2m+1}$
97011
Proving that $\prod_{k=1}^{n}\tan\left(\frac{\pi k}{2n+1}\right)=\sqrt{2n+1}$ using geometry
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
78033
Evaluating $\prod_{n=1}^{\infty}\left(1+\frac{1}{2^n}\right)$
104542
Evaluate $\frac{1}{3}+\frac{1}{4}\frac{1}{2!}+\frac{1}{5}\frac{1}{3!}+\dots$
115514
Is the product $\prod_{k=1}^\infty \frac{2^k-1}{2^k}$ necessarily $0$?
154172
Finding $\tan t$ if $t=\sum\tan^{-1}(1/2t^2)$
114418
A deduction from $x^n-1=(x^2-1)\prod_{k=1}^{(n-2)/2}[x^2-2x\cos{\frac{2k\pi}{n}}+1]$
68858
Prove that $\prod_{n=2}^∞ \left( 1 - \frac{1}{n^4} \right) = \frac{e^π - e^{-π}}{8π}$
84147
Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
104828
Show that $\cot \frac{\pi}{2m}\cot \frac{2\pi}{2m}\cot \frac{3\pi}{2m}...\cot \frac{(m-1)\pi}{2m}=1$
42391
Calculate $\tan9^{\circ}-\tan27^{\circ}-\tan63^{\circ}+\tan81^{\circ}$
82170
Solve $x = \frac{1}{2}\tan(x)$
7802
Showing $\prod\limits_{i<j} \frac{x_i-x_j}{i-j}$ is an integer
1166
How to compute $\prod\limits^{\infty}_{n=2} \frac{n^3-1}{n^3+1}$
6558
Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$
60061
Find the value of : $\lim_{n\to\infty}\prod_{k=1}^n\cos\left(\frac{ka}{n\sqrt{n}}\right)$
74822
How to evaluate $\int_{0}^{\pi }\theta \ln\tan\frac{\theta }{2} \, \mathrm{d}\theta$