functions $\sin(x)/x$ is between $1$ and $2/\pi $
11387
Mean Value Theorem: $\frac{2}{\pi}<\frac{\sin x}{x}<1$
124208
Proof $|\sin(x) - x| \le \frac{1}{3.2}|x|^3$
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
9658
What is the length of a sine wave from $0$ to $2\pi$?
135565
Limit of $\frac{1}{x^2}-\frac{1}{\sin^2(x)}$ as $x$ approaches $0$
51837
Show that $\int_{0}^{\pi} xf(\sin(x))\text{d}x = \frac{\pi}{2}\int_{0}^{\pi}f(\sin(x))\text{d}x$
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$
88097
Fourier series for $f(x)=(\pi -x)/2$
118884
The sine inequality $\frac2\pi x \le \sin x \le x$ for $0<x<\frac\pi2$
66872
Exact values of $\cos(2\pi/7)$ and $\sin(2\pi/7)$
57152
Solve $\sin x = 1 - x$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
141273
When is $\sin(x)$ rational?
53024
$f(x)f(1/x)=f(x)+f(1/x)$
142114
Limit as $x\to 2$ of $\frac{\cos(\frac \pi x)}{x-2} $
112898
Derivative of sin(x)/x at $0$ by definition of derivative
118687
Prove an inequality with a $\sin$ function: $\sin(x) > \frac2\pi x$ for $0<x<\frac\pi2$