Prove that $\tan(x) \gt x$ for any $x$, $x\in(0,π/2)$
88989
Why $x<\tan{x}$ while $0<x<\frac{\pi}{2}$?
82286
Derivation of asymptotic solution of $\tan(x) = x$.
65562
Proving the inequality $\arctan\frac{\pi}{2}\ge1$
142360
How to show $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$
87713
How to propagate uncertainty to $\tan(x)$?
119815
Why is $\tan((1/2)\pi)$ undefined?
11499
How to show the inequality for $\int_{0}^{\pi/4}\tan^n(x) dx$
65239
Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$
95266
Show $|t|\leq \pi \Rightarrow |e^{it}-1|\geq 2|t|/ \pi$
147113
How to solve $2 \tan x / (1 - (\tan x)^2) = (\sin 2x)^2$?
118687
Prove an inequality with a $\sin$ function: $\sin(x) > \frac2\pi x$ for $0<x<\frac\pi2$
35529
Prove that $\sin x+2x\ge\frac{3x(x+1)}{\pi}$ for all $x\in [0,\frac{\pi}{2}]$
145632
Proving $\frac{1}{\cos^2\alpha}<\frac{\tan\beta-\tan\alpha}{\beta-\alpha}<\frac{1}{\cos^2\beta}$
32197
Prove that $\tan A + \tan B + \tan C = \tan A\tan B\tan C,$ $A+B+C = 180^\circ$
7296
Prove $(1-\cos x)/\sin x = \tan x/2$
118884
The sine inequality $\frac2\pi x \le \sin x \le x$ for $0<x<\frac\pi2$
68774
Proving that $f(x)$ is less than or equal to $1+\pi/4$