### Mathematicians love parametric equations!

When the coordinates of a function are expressed in terms of a third independent variable, parametric equations are produced.

E.g.

x = 3 sin (t) | y = 3 cos (t) - t is the parameter

sin t = x/3 => sin^{2}t = x

^{2}/9

cos t = y/3 => cos

^{2}t = y

^{2}/9

x

^{2}+ y

^{2}= 9

x

^{2}+ y

^{2}= 3

^{2}

This is a circle with radius 3 with the centre being at the origin.

The above parametric equations produce a circle.

For more in-depth knowledge on parametric equations, please follow the this link and learn interactively.

In order to practice the above heart interactively using parametric equations, please use the following simulation:

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