Problem:
Graph the curve represented by the following pair of parametric equations:
x = 2 cos3(t), y = 2 sin3(t)
This curve is called a hypocycloid of four cusps.
Visualization:
Using MPP:
- Choose Item 1 - MPP (Mathematics Plotting Program from the initial
menu and press
.
- Enter the bounds
- Xmin : -2.1
Xmax : 2.1
- Ymin : -2.1
Ymax : 2.1
.
- At the prompt 1. y=f(x) ==>, press
until the prompt 1. x=f(t) ==>
appears.
- Enter the function
2(cos(t))^3
- At the prompt y=g(t) ==>, enter the function
2(sin(t))^3
- Enter the bounds
tmin : 0
tmax : 6.14
.
- Press
to display the graph of the
functions.