Question

Graph each pair of parametric equations. (2 points each) x = 3 sin^3t y = 3 cos^3t

Answer 1

A graphing calculator or graphing software is required to plot these functions.
Graphing the functions manually requires creating a table as shown below.

For the sake of brevity, only a few points are shown in the table. 
For the plot shown below, the spacing in t/π is 0.05 instead of 0.5.

   t/π             x(t)          y(t)
 ------     -----------  -----------
      0              0              1
    0.5    0.0040   0.9626
    1.0     0.0307   0.8567
    1.5     0.0970   0.7006
    2.0    0.2101     0.5199
    2.5    0.3646   0.3426
    3.0    0.5439   0.1928
    3.5    0.7230   0.0858
    4.0    0.8739   0.0252