C2M5
Parametric Functions
Have you ever played with a toy called
”EtchaSketch”
? One hand controls the
x
axis while the other
controls the
y
axis. It is as if you are graphing (
x
(
t
)
, y
(
t
))
, a
≤
t
≤
b ,
which is exactly what happens when
a function in the plane is defined parametrically. Be very careful where you place the right bracket,
]
, when
using Maple to plot parametric graphs.
Maple Example:
Plot
x
(
t
) = sin(13
t
)
, y
(
t
) = cos(7
t
) for 0
≤
t
≤
6
π
which produces a
lissajou
.
The
plot is on the left below. As you can see, the scaling is a little off because the “square” is two units on each
side. For a little fun, increase the coeﬃcients to say 43 and 37 and see what happens. You may also wish to
increase the domain.
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 Spring '08
 Iacob
 French Revolution, Rightwing politics, Leftwing politics, Political spectrum, Parametric equation, parametric graphs

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