103
T
T
I
I
P
P
S
S
&
&
T
T
R
R
I
I
C
C
K
K
S
S
-
-
P
P
A
A
R
R
A
A
M
M
E
E
T
T
R
R
I
I
C
C
E
E
Q
Q
U
U
A
A
T
T
I
I
O
O
N
N
S
S
F
F
u
u
n
n
a
a
n
n
d
d
g
g
a
a
m
m
e
e
s
s
Apart from the normal mathematical and engineering applications of
parametric equations, some interesting graphs are available through this
aplet. Three quick examples are given below.
Example 1
Try exploring variants of the graph of:
(
()
3sin3
2sin4
tt
yt t
=
=
Example 2
Try varying the values of a and b in the
equations:
1() ( )cos() cos(( 1))
1() ( )sin() sin(( 1))
a
tab tb t
b
a
yt ab t b t
b
=+ − +
=+ − +
Hint: The example shown uses a=4, b=2.5 and has axes set with TRng of 0
to 31.5 step .2, XRng of -21.66 to 21.66 and YRng of -12 to 9. It also
has Axes un ’d in PLOT SETUP.