**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