How to Use LaTeX Arctangent Symbol

To write the Arctangent (arctan) in LaTeX, use the LaTeX command \arctan. It will add arctan symbol in the text.

In this article, we will discuss how to use Arctangent (arctan) in the LaTeX document and its applications in trigonometric calculations and mathematical concepts.

Symbol Overview

Symbol: Arctangent

Unicode: U+221E

Type: Trigonometric

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \arctan

Example: arctan

Description

The Arctangent is a built-in symbol available in LaTeX, and one of the fundamental trigonometric functions used in mathematics to find the angle whose tangent is a given value.

In LaTeX, it is commonly used to represent the arctangent function.

Syntax

The LaTeX command \arctan is used to display the Arctangent symbol.

\arctan

Let’s understand using Arctangent symbol in various domains like mathematics, trigonometry with the help of examples.

Using the Arctan Symbole to Find the Angle

\documentclass{article}
\begin{document}
\[ \theta = \arctan\left(\frac{3}{4}\right) \]
\end{document}

Output: 👇️

θ = arctan(3/4)

In this example, we use the arctan symbol to find the angle (θ) whose equal to 3/4.

Using the Arctan Symbol in a Mathematical Expression

\documentclass{article}
\begin{document}
\[ \tan(\arctan(x)) = x \]
\end{document}

Output: 👇️

tan(arctan(x)) = x

In the above example, tangent of the arctangent of a value (x) is equal to x itself.

Applications

The arctan symbol finds numerous applications in LaTeX documents such as:

• Calculate angles in geometric and trigonometric functions.
• Solve trigonometric equations involving tangent and arctangent functions.

Conclusion

I hope the above article on how to use arctan symbol help you. The arctan symbol (arctan) is a fundamental trigonometric functions used extensively in mathematics and widely used in LaTeX documents.

By effiectively use the the arctan symbol in LaTeX documents to convey accurate and precise trigionometric calculations and mathematical concepts.