Assignment
10
Investigation
2
For
various a and
b,
investigate
x=cos(at)
y=sin(bt)
for
0 < t < 
Answer:
For
x=cos(t) and y=sin(t)
For
x=cos(2t) and y=sin(2t)
For
x=cos(7t) and y=sin(7t)
For
x=cos(-t) and y=sin(-t)
For
x=cos(-10t) and y=sin(-10t)
For
x=cos(12t) and y=sin(-12t)
It
is clear that as you increase the values of a or b towards the positive or the
negative, a unit circle is formed.