Tips & Tricks - Parametric Equations; Fun And Games; Example 1; Example 2 - HP 39g Master Manual

T & T
T & T
I P S R I C K
I P S R I C K
F u n a n d g a m e s
F u n a n d g a m e 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:
( )
x t
( )
y t

Example 2

Try varying the values of a and b in the
equations:
= +
x t 1( ) ( a b
= +
y t 1( ) ( a 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
- P
- P
S A R A M E T
S A R A M E T
=
3sin 3 t
=
2sin 4 t
−
a
)cos( ) t b cos((
b
−
a
)sin( ) t b sin((
b
'd in PLOT SETUP.
R I C E Q U A T I O N
R I C E Q U A T I O N
+
1) ) t
+
1) ) t
103
S
S