Assignment 10
for
For various a and b, investigate
x = cos(at)
y = sin(bt)
Begin by considering what happens when a and b vary by the same constant 'n.'
As you can see, the parametric equation forms a counter-clockwise circle once n = 6.28 and begins repeating.
What happens when a and b are not the same constant?
Consider what happens b =1 and a varies by clicking play on the video below:
Consider what happens when a = 1 and b varies by clicking play on the video below:
Does the value of the fixed value (either a or b) affect the outcome of the graph?
Consider what happens when b = 2 and a varies by clicking play on the video below:
Consider what happens when a = 2 and b varies by clicking play on the video below:
Conclusion
