Question

suppose a curve is given by the parametric equations: x=2+cost, y=3+sint as t varies in the interval [0,2pi] make a table of values for the curve using t=0, /6, /4, /3, /2 ,3/2, 2

Answer 1

Not too difficult. What you have to do is construct a table like so:


Now in the columns for x and y, you must evaluate
x = 2 + cost, and
y = 3 + sint
for the given values of t in the left-most column.

For example, x(0) = 2 + cos(0) = 2 + 1 = 3
y(0) = 3 + sin(0) = 3 + 0 = 3.

And so on.