Maximum value of $\prod_{r=1}^n\cos a_r$ if $0\le a_1,\ldots,a_n\le\frac{\pi}{2}$ and $\prod_{r=1}^n\cot a_r = 1$
127032
Maximum of $\cos \alpha_{1}\cdot \cos \alpha_{2}\cdot \cos \alpha_{3}....\cos \alpha_{n}.$
34114
What is $\max{(1/\alpha+1/\beta+|1/\gamma|+|1/\delta|)}$?
126574
Proving $\prod_k \sin \pi k / n = n / 2^{n-1}$
80134
Maximum and minimum value of Determinant of $3 \times 3$ Matrix with entries $\pm 1$
96366
show that for any n $\in$ $\Bbb N$ , if n $\ge$ 2, then $\prod_\limits{i=2}^n $ $\left( 1-\frac{1}{i^2}\right)$ = $\frac{n+1}{2n}$
37158
upper limit of $\cos (x^2)-\cos (x+1)^2$ is $2$
53536
Maximum value of $f(x) = \cos x \left( \sin x + \sqrt {\sin^2x +\sin^2a}\right)$
23142
Suppose $x, y, z$ are positive real number such that $x + 2y + 3z = 1$. Find the maximum value of $xyz^2$
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$
45439
Given reals $a_1, a_2, \cdots, a_{n - 1}, a_n$ such that $\sum_{i = 1}^na_1^2 = 1$. Calculate the maximum value of $\sum_{cyc}|a_1 - a_2|$.
121362
If $A,B>0$ and $A+B = \frac{\pi}{3},$ Then find Maximum value of $\tan A\cdot \tan B$.
34440
Finding Value of the Infinite Product $\prod \Bigl(1-\frac{1}{n^{2}}\Bigr)$
49240
$\forall x,y \in \mathbb{R}:\vert\cos x- \cos y\vert\leq\vert x-y\vert$
105768
Proof involving absolute value and maximums
157833
Limit of the Product $\prod_{k=1}^n\left(\frac{2k-1}{2k}\right)$
72568
Calculation of $\lim_{n\to \infty}\prod_{r=1}^{n} \left(1+\frac{r}{n}\right)^{\frac{1}{n}}$
28125
Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$