Parametric Function

In this post we discuss about Parametric Function.Occasionally, a curve’s path is traced by defining both its horizontal (x) and vertical (y) positions as dependent on a shared intermediary variable, commonly denoted as ‘t’ or ‘θ’. This intermediary is known as a parameter. The equations of the type x=f(t) and y=g(t) are called the parametric equations of the curve. Functions defined in the following manner are designated as parametric.

(1) $x =a t^2$ (2) $x = a cos t$

$y = at$ $y = a sin t$

(3) $x = a cosθ$ (4) $x = a sec θ$

$y = a sin θ$ $y = a tan θ$

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