viii.
We can see symmetry visually if the function is graphed and the aplet best suited to this is the Parametric
aplet. When a function is sent to the Parametric aplet the real part is sent to the x and the imaginary part
to the y component of the parametric equation selected.
Calculator Tip
X1
and
Y1
Fred(t)
and
Jim(t)
.
X(t)
.
X
lt and this
ini
Although
were chosen as names for the functions defined
earlier this has no relevance for the pasting into the Parametric aplet.
They could just as easily have been defined as
However, it is suggested that you not define a function as simply
This is because is defined as the current variable by defau
means that the contents of your function def tion will be purged as
soon as you perform any operation that uses the current variable.
On the screen, define an expression
X
1(
T
i Y T
)
which can be sent to the aplet, evaluating it
)
+ ⋅
1(
and changing back to large font too.
SHIFT SHIFT ALPHA CLEAR
ALPHA X 1 ( ALPHA T
+ SHIFT 1
ALPHA Y 1 ( ALPHA T SHIFT
ENTER
Now store to the aplet using the
PLOT
button on the keyboard, choosing
X1,Y1
in the Parametric aplet.
PLOT ENTER ENTER
Note:
The reason that we used capital
T
instead of lower
case
t
here is because that is the variable used by the
Parametric
aplet.
When you
button.
We now change out of the CAS and activate the
Parametric aplet in the usual fashion.
do you should see the screen shown right. Each of
these expressions needs to be simplified before
graphing or it will significantly slow down the
process. Highlight each in turn and press the
screen button. Then press the
355