# What is the parametric equation of an ellipse?

Here is one example...

This is essentially because:

This is essentially an ellipse!

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The parametric equations of an ellipse are given by:

x(t) = a * cos(t) y(t) = b * sin(t)

Where:

- 'a' is the length of the semi-major axis (half of the longest diameter).
- 'b' is the length of the semi-minor axis (half of the shortest diameter).
- 't' is the parameter that varies as the point moves along the ellipse.
- 'cos' and 'sin' are the cosine and sine trigonometric functions, respectively.

These parametric equations trace out the ellipse as 't' varies from 0 to 2π radians (or 0 to 360 degrees), covering one complete revolution around the ellipse.

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