Definition of

# Parametric Equations

A set of functions linked by one or more independent variables (called the parameters).

For example, here are two functions linked by the parameter "t":

• x = cos(t)

• y = sin(t)

As t goes from 0 to 2π the x and y values make a circle!

at t=0: x=1 and y=0 (the right side of the circle)

at t=π/2: x=0 and y=1 (the top of the circle)

at t=π: x=−1 and y=0 (the left side of the circle)

etc.

Parametric Equations are very useful for defining curves, surfaces, etc

For example, here are two functions linked by the parameter "t":

• x = cos(t)

• y = sin(t)

As t goes from 0 to 2π the x and y values make a circle!

at t=0: x=1 and y=0 (the right side of the circle)

at t=π/2: x=0 and y=1 (the top of the circle)

at t=π: x=−1 and y=0 (the left side of the circle)

etc.

Parametric Equations are very useful for defining curves, surfaces, etc

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