$\sin(x) \leq x$ on the interval $[0,1]$
53307
how to strictly prove $\sin x<x$ for $0<x<\frac{\pi}{2}$
97213
Why does $\sin(0)$ exist?
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
138195
An inequality for arctan$x$
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
28822
$|x| - |y| \leq |x-y|?$
86518
Does $X$ have a lower bound?
124208
Proof $|\sin(x) - x| \le \frac{1}{3.2}|x|^3$
28125
Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$
27513
Trigonometric bounds
149102
Evaluating $\lim_{x \to 0} x\sin\left(\frac{1}{x}\right)$ or showing it does not exist
91131
Question regarding an inequality
91278
The limit for $x\to 0$ of $x^3\sin (x)$ exists
78528
Trigonometric fraction Inequality question
46642
Continuity of $\sin(x)/x$
156881
How prove this inequality $I=\int_{0}^{\sqrt{2\pi}}\sin{x^2}dx>0$
33097
Proving an inequality without an integral: $\frac {1}{x+1}\leq \ln (1+x)- \ln (x) \leq \frac {1}{x}$