HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 27

Trig Explorer

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hp40g+.book Page 15 Friday, December 9, 2005 1:03 AM 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. Press , select Trig Explorer, and then press to display the screen shown right. 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 a toggle between is Origin and . When is 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 Getting started Pressing displays the equation at the top of the screen. The equation is controlled by the graph. Pressing the and keys moves from parameter to parameter. Pressing the or parameter's values. key changes the The default angle setting for this aplet is radians. The angle setting can be changed to degrees by pressing . 1-15

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Getting started
1-15
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.
Press
, select
Trig
Explorer
, and then press
to display the screen
shown right.
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 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
.
The arrow keys change the
amplitude and frequency of
the graph. This is most easily
seen by experimenting.
Pressing
displays the
equation at the top of the
screen. The equation is
controlled by 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
.
y
a
bx
c
+
(
)
d
+
sin
=
Origin
π
21
,
(
)
Extremum
hp40g+.book
Page 15
Friday, December 9, 2005
1:03 AM