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:
( )
( )
3sin 3
2sin 4
x t
t
y t
t
=
=
Example 2
Try varying the values of
a
and
b
in the
equations:
1( ) (
)cos( )
cos((
1) )
1( ) (
)sin( )
sin((
1) )
a
x t
a b
t
b
t
b
a
y t
a b
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.
