**Introduction**

Trigonometrical functions (sin, cos, tan, etc.), logarithmic function (log), etc. are written in LaTex using some special command.

Examples using Mathematical operators:

1 2 3 | \[ \sin(a + b ) = \sin(a)\cos(b) + \cos(a)\sin(b) \] |

**Output:**

$$ \sin(a + b ) = \sin(a)\cos(b) + \cos(a)\sin(b) $$

**Note:** This operator commands use Roman characters for printing the function name instead of italics.

**Operators in different contexts**

Few operators in LaTex are managed in an extraordinary way.

It can include a subscript as shown below:

1 2 3 | \[ \lim_{a \rightarrow 0 } \frac{f(a+h)-f(a)}{h} \] |

**Output:**

$$ \lim_{a \rightarrow 0 } \frac{f(a+h)-f(a)}{h} $$

Refer **Reference Guide** for a complete list of supported operators in LaTex.

**Defining your own operators**

If you would like to add/include your own personalized operators to be displayed in Roman font rather than italics. You can use **\DeclareMathOperator**

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | \documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \DeclareMathOperator{\My}{M_{\mathcc{K}}} \begin{document} Defining your own operator. \[ y \in \My \] \end{document} |

The **\DeclareMathOperator** command needs two arguments,

- New operator name
- Tex to be displayed

**Reference Guide of operators in LaTex**

List of mathematical operators supported in LaTex:

Operator | Render in LaTex |
---|---|

\arcsin | $$ \arcsin $$ |

\arctan | $$ \arctan $$ |

\arg | $$ \arg $$ |

\cos | $$ \cos $$ |

\cosh | $$ \cosh $$ |

\cot | $$ \cot $$ |

\coth | $$ \coth $$ |

\csc | $$ \csc $$ |

\deg | $$ \deg $$ |

\det | $$ \det $$ |

\dim | $$ \dim $$ |

\exp | $$ \exp $$ |

\gcd | $$ \gcd $$ |

\hom | $$ \hom $$ |

\ker | $$ \ker $$ |

\lg | $$ \lg $$ |

\lim | $$ \lim $$ |

\liminf | $$ \liminf $$ |

\limsup | $$ \limsup $$ |

\ln | $$ \ln $$ |

\log | $$ \log $$ |

\max | $$ \max $$ |

\min | $$ \min $$ |

\Pr | $$ \Pr $$ |

\sec | $$ \sec $$ |

\sin | $$ \sin $$ |

\sinh | $$ \sinh $$ |

\sup | $$ \sup $$ |

\tan | $$ \tan $$ |

\tanh | $$ \tanh $$ |