Overview

A relation between $x$ and $y$ can be defined by making $x$ and $y$ functions of a third variable called a parameter, such as $t$. The functions are called parametric functions.

Examples

$$ $x \= \cos \left(t\right)$ $y \= \sin \left(t\right)$   Parametric construction of a circle $$ $x \= \sin \left(u\right)\cdot \left(e^{\cos \left(u\right)} - 2\cdot \cos \left(4 u\right) - \sin {\left(\frac{u}{12}\right)}^5\right)$ $y \= \cos \left(u\right) \cdot \left(e^{\cos \left(u\right)}- 2\cdot \cos \left(4 u\right) - \sin {\left(\frac{u}{12}\right)}^5\right)$   Parametric construction of the butterfly curve

t =..

Example = Example1Example2Example3Example4Example5

More MathApps

MathApps/FunctionsAndRelations