We can use parametric equations in three dimensions as well.
We begin in two dimensions. Sketch the figure produced by
and . Describe the figure sketched on the interval .
Now suppose we have
, , and . Make a table with four columns: , , , and . Put in several values of to answer the question: what happens to the point as increases from to ?
-axis as coming out of the paper on your desk vertically.What would it look like if you plotted the points of a circle on a graph, but moved vertically out of your paper while doing so?
How would the figure be different if the equations were
, , and ?