# Functions and operators

```latex
\sin^2\theta+\cos^2\theta=1
```

```latex
\log_b x=\frac{\ln x}{\ln b} \qquad e^{i\pi}+1=0
```

```latex
\gcd(a,b)=\gcd(b,a\bmod b)
```

```latex
\operatorname{arg\,max}_{x\in X} f(x)
```