cos

Represents the cosine trigonometric function, used extensively in mathematics and physics for calculating ratios in right triangles and modeling periodic phenomena.

Overview

A fundamental trigonometric function that appears throughout mathematics, physics, and engineering applications.

Essential in geometry and trigonometry for analyzing triangles and circular motion
Frequently used in signal processing and wave analysis
Appears in complex number representations and Fourier series
Distinguished from regular text by automatic mathematical formatting and proper spacing
Often paired with other trigonometric functions like sine and tangent in equations and formulas

Examples

Basic cosine function of x

f(x) = \cos x

f(x) = \cos x

Trigonometric identity for cosine of sum

\cos(A + B) = \cos A \cos B - \sin A \sin B

\cos(A + B) = \cos A \cos B - \sin A \sin B

Complex exponential representation of cosine

\cos x = \frac{e^{ix} + e^{-ix}}{2}

\cos x = \frac{e^{ix} + e^{-ix}}{2}