Sharp EL-9900 EL9900 Operation Manual - Page 121

Period And Phase Shift

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PERIOD AND PHASE SHIFT Investigate the change in a trigonometric function by multiplying the argument θ by 2. 1. Press Y= CL to access and clear Y1 of an old expression. 2. Make sure the calculator is in radian mode by pressing 2ndF SET UP , B (DRG) and 2 (Rad). Press 2ndF QUIT to exit the menu. 3. Now, enter sin x for Y1 by pressing sin X/θ/T/n ENTER and the sin (2x) for Y2 by pressing CL sin ( 2 X/θ/T/n ) ENTER . 4. Set your viewing window by pressing ZOOM E (TRIG) and 1 (sin x). Note the change in the second graph versus the first graph. Engage the trace to show the period has changed from 2π to π. Investigate the change in a trigonometric function by subtracting 3π 2 to the argument θ. 1. Press Y= ▼ CL and enter Y= sin (X - 3π/2) for Y2 by pressing sin ( X/θ/T/n - 3 2ndF π ÷ 2 ) ENTER . 2. Press GRAPH to view the graphs. Observe and note the changes in sin x when you change the phase shift. 6 Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

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6
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation.
Permission is granted to photocopy for educational use only.
Investigate the change in a trigonometric function by multiplying
the argument
θ
by 2.
1.
Press
Y=
CL
to access and clear Y1 of an old expression.
2.
Make sure the calculator is in radian mode by pressing
2ndF
SET UP
,
B
(DRG)
and
2
(Rad)
.
Press
2ndF
QUIT
to exit the menu.
3.
Now, enter sin x for Y1 by pressing
sin
X/
θ
/T/
n
ENTER
and the sin (2
x
)
for Y2 by pressing
CL
sin
(
2
X/
θ
/T/
n
)
ENTER
.
4.
Set your viewing window by pressing
ZOOM
E
(TRIG)
and
1
(sin
x)
.
Note the change in the second graph versus the first graph.
Engage the
trace to show the period has changed from 2
π
to
π
.
Investigate the change in a trigonometric function by subtracting
to the argument
θ
.
1.
Press
Y=
▼
CL
and enter Y= sin (X - 3
π
/2) for Y2 by pressing
sin
(
X/
θ
/T/
n
–
3
2ndF
π
÷
2
)
ENTER
.
2.
Press
GRAPH
to view the graphs.
Observe and note the changes in sin x
when you change the phase shift.
PERIOD AND PHASE SHIFT
3
π
2