This is the second in series of blog posts where I illustrate the use of Excel as an aid to the study of calculus. I've already published a blog post about graphing functions with a single independent variable x in a cartesian coordinate system. In this post we'll be looking at plotting 2D parametric equations.
Parametric equations are a collection of points P(t) = (x(t), y(t)) where we allow both coordinates to be functions of a third independent variable t called a parameter.
Lets draw the curve of function described by the following parametric equations:
x(t) = -35 * cos(t) + 65 * cos(-0.35t)
y(t) = -35 * sin(t) - 65 * sin(-0.35t)
where t ranges through the domain [0,300]