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# Operators in LaTeX

LaTex generally shows characters in italics defined in a mathematical mode. However, in some cases, the name of functions need different formatting, which is achieved using operators.

## 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.

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

Example using personalized operators :
  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,

1. New operator name
2. 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 $$\tanh$$