HP 40gs User Manual

Page 27

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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 2 1

,

(

)

Extremum

hp40g+.book Page 15 Friday, December 9, 2005 1:03 AM

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