Final answer:
To sketch the curve represented by the parametric equations x = 3 sin t, y = 3 cos t, we can substitute different values of t and plot the corresponding points on a graph.
Step-by-step explanation:
The given parametric equations are:
x = 3 sin(t)
y = 3 cos(t)
To sketch the curve represented by these equations, we can substitute different values of t and find the corresponding values of x and y. We can then plot these points on a graph, which will give us the shape of the curve. The range of t is given as 0 ≤ t ≤ π. Let's evaluate x and y for different values of t:
- For t = 0, x = 0 and y = 3.
- For t = π/2, x = 3 and y = 0.
- For t = π, x = 0 and y = -3.
We can continue this process and plot the corresponding points on a graph to obtain the curve represented by the parametric equations.