Question

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

Answer 1

Step 1:

The parametric equations are over the interval .

Construct a table with different values of .

 

Answer 2

Contd......

Step 2:

Now plot the graph for parametric equations over .

Indicate the obtained points on the graph.

Based on the values of , indicate the direction of as it increases with an arrow.

Solution :

The graph for parametric equations over :