HP 39g hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 24

Trig Explorer, aplet

Page 24 highlights

Trig Explorer aplet The Trig Explorer aplet is used to investigate the behaviour of the graph of y = a sin (bx + c) + d as the values of a, b, c and d change, both by manipulating the equation and seeing the change in the graph, or by manipulating the graph and seeing the change in the equation. When the user presses in the view, the screen shown right is displayed. In this mode, the graph controls the equation. Pressing the and keys transforms the graph, with these transformations reflected in the equation. The button labelled is a toggle between and . When is Origin chosen, the 'point of control' is at the origin (0,0) and the and keys control vertical and horizontal transformations. When is chosen the 'point of control' is on the first extremum of the graph (i.e. for the sine graph at (π ⁄ 2,1) . The arrow keys change the amplitude and frequency of the graph. This is most easily seen by experimenting. Extremum Pressing displays the equation at the top of the screen. The equation is controls the graph. Pressing the and keys moves from parameter to parameter. Pressing the or key changes the parameter's values. The default angle setting for this aplet is radians. The angle setting can be changed to degrees by pressing . 1-14 Getting started

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1-14
Getting started
Trig Explorer
aplet
The
Trig Explorer
aplet is used to investigate the behaviour
of the graph of
as the values of
a
,
b
,
c
and
d
change, both by manipulating the equation and seeing
the change in the graph,
or by manipulating the graph and
seeing the change in the equation.
When the user presses
in the
view, the screen
shown right is displayed.
In this mode, the graph
controls the equation. Pressing
the
*k,*e,
and
*>,*A,
keys
transforms the graph, with
these transformations reflected
in the equation.
The button labelled
is a
toggle between
and
. When
is
chosen, the ‘point of control’ is
at the origin (0,0) and the
*k,*e,
and
*>,*A,
keys
control vertical and horizontal
transformations. When
is chosen the ‘point of control’ is on the first extremum of the
graph (i.e. for the sine graph at
.
The arrow keys change the
amplitude and frequency of the
graph. This is most easily seen
by experimenting.
Pressing
>6<0%@
displays the
equation at the top of the
screen. The equation is
controls the graph. Pressing the
*A,
and
*>,
keys moves from
parameter to parameter.
Pressing the
*k,
or
*e,
key changes the parameter’s values.
The default angle setting for this aplet is radians. The angle
setting can be changed to degrees by pressing
.
y
a
bx
c
+
(
29
d
+
sin
=
Origin
π
21
,
(
29
Extremum