Step 1 Given: The following parametric equations,
Step 2 a) To eliminate the parameter to obtain an equation in x and y. We have, The following parametric equations, (1)
(2) Adding equations (1) and (2), we get
An equation in x and y is Step 3 b) To describe the curve and indicate the positive orientation. We have, The curve represents a circle at the origin, To indicate the positive orientation, we will use the following parametric equations, The interval given is
Implies the initial point is For
Implies the end point is The initial point and the end point are equal, that is, Hence, the orientation is positive in anticlockwise direction.