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.