# Parametric Equations

## Topic

Functions and Relations

## Definition

Parametric equations are a set of equations that express the coordinates of the points of a curve as functions of a variable called a parameter.

## Description

Parametric equations are significant in mathematics because they allow for the representation of curves that cannot be described by a single function. They are written as x = f(t) and y = g(t), where 𝑡 t is the parameter. Parametric equations are used in various fields, including physics for describing the motion of particles and in computer graphics for modeling curves and surfaces. For example, the parametric equations x = cos(t) and y = sin(t) describe a circle. Understanding parametric equations is essential for analyzing complex curves and for applying mathematical models to real-world scenarios.

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Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4 6 - 9 Algebra     • Functions and Relations         • Relations and Functions 2021 definition, function, relations, glossary terms