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 => sin2t = x2/9cos t = y/3 => cos2t = y2/9
x2 + y2 = 9
x2 + y2 = 32
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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