Sharp EL-9900 Manual de usuario
Sharp EL-9900
Graphing Calculator
Basic Keyboard Activities
General Mathematics
Algebra
Programming
Advanced Keyboard Activities
Algebra
Calculus
Statistics
Trigonometry
Programming
Sharp EL-9900
Graphing Calculator
Advanced Keypad
EL-9900
SUB SPLIT TBLSET DRAW FORMAT CALC
OPTION LIST CLIP
OFF A-LOCK
STAT
PLOT
SLIDE
SHOW
2ndF
ALPHA
Y=
GRAPH
TABLE
WINDOW
ZOOM
TRACE
ON
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2
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ENTER
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.
MATH
STAT
PRGM
sin
STO
DEL BS
In
CL
x2
X/0/T/n
i
x–1
,
ab
log
abc
cos tan
ab
INS
SOLVER
MATRIX
TOOL
RCL VARS
SET UP QUIT
A
sin cos tan
10
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L1 L2 L3
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QRST
CATALOG
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Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Steps for graphing the sine function
1. Turn the calculator on and press Y= .
2. Press CL to remove an old Y1 expression.
3. Press ▼CL to clear additional expressions.
4. To set up the calculator press 2ndF SET UP B (DRG) 2(Rad)
E (COORD) 1(Rect) G (EDITOR) and 1 (Equation).
5. Press 2ndF QUIT again to return to the Y prompts.
6. Enter the sine function ( y= sin x) for Y1, by pressing sin X/θ/T/n.
7. Enter the viewing window range by pressing ZOOM E (TRIG) and
1(sin x).
Steps for graphing the cosecant function.
1. Press Y= CL to remove an old Y1 expression.
2. Enter the cosecant function for Y1 by pressing MATH A (CALC)
1 0 (csc) and press X/θ/T/n.
3. Continue to use the sine function's built-in viewing range.
4. Press GRAPH to view the graph.
GRAPHS OF TRIGONOMETRIC FUNCTIONS
2
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Steps for evaluating sin 45° directly
1. Turn the calculator on and press to access the computation screen.
2. Press CL to clear the viewing window of any old expressions.
3. Set the calculator to operate in degrees by pressing 2ndF SET UP
B(DRG) 1 (Deg). Press 2ndF QUIT to exit the menu.
4. Enter and evaluate the expression by pressing sin 4 5 ENTER .
Steps for approximating sin ( ) graphically
1. Press Y= followed by CL to clear an old expression for Y1.
2. Enter the function sin xby pressing sin X/θ/T/n. Set the calculator to
radian mode by pressing 2nd F SET UP B (DRG) and 2 (Rad). Press
2nd F QUIT to exit the menu.
3. View the graph by pressing ZOOM E (TRIG) 1sin x.
4. Now, engage the trace by pressing TRACE and tracing near x= = 1.047.
5. With the cursor located near x= 1.047, you can zoom in to find a better
approximation for the yvalue. Press ZOOM A (ZOOM) 3 (In) to zoom
in on the cursor.
6. Once again, trace over near x= 1.047. Zoom in one more time to see an even
better approximation. The y value of .866 approximates sin ( )..
EVALUATING TRIGONOMETRIC FUNCTIONS
×
+–
÷
π
3
π
3
π
3
3
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Steps for evaluating sec ( ) directly in degree mode
1. Press to enter computation mode.
2. Press 2ndF SET UP to verify the calculator is in degree mode. If it is not,
change it to degree mode. Press 2ndF QUIT to exit the menu.
3. Enter and evaluate the expression by pressing MATH A (CALC)
0 9 (sec) 2ndF πa/b 4 MATH E (ANGLE) 4 (r) and
pressing ENTER .
Steps for approximating tan 20° graphically
1. Press Y= and press CL to remove an old expression for Y1.
2. Press 2ndF SET UP to verify the calculator is in degree mode. If it is not,
change it. Press 2ndF QUIT to exit the menu.
3. Enter the function tan xfor Y1 by pressing tan X/θ/T/n.
4. Instead of graphing the function in the default viewing window for tangent,
press WINDOW adjust the Xmin and Xmax to 10° and 30° (value of interest
± 10° ) respectively to start out closer to the value of interest. Set the Xscl =
1. Press ZOOM A (ZOOM) and 1 (Auto) to view the graph.
5. Now, engage the trace by pressing TRACE . Notice the tracer appears at
x= 20° since it is the middle of the xvalues. The approximate for tan 20°
is .36397.
EVALUATING TRIGONOMETRIC FUNCTIONS
π
4
×
+–
÷
▼
4
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Verify the double angle formula sin 2θ= 2 sin θcos θ, by graphing Y1 = sin
(2x) and Y2 = 2 sin xcos xand show that they are in fact the same graph.
2. Turn the calculator on and press Y= . Press CL to clear Y1 of an old
expression. Press ▼CL to clear additional expressions.
3. 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.
4. Now enter sin (2x) for Y1 by pressing sin ( 2 X/θ/T/n) ENTER
and the 2 sin xcos xfor Y2 by pressing 2 sin X/θ/T/ncos X/θ/T/n
ENTER .
5. Set your viewing window by pressing ZOOM E (TRIG) 1 (sin x).
6. They appear as one graph. An invalid formula or identity would result in
two graphs.
GRAPHICAL VERIFICATION OF FORMULAS
AND IDENTITIES
5
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Investigate changes in amplitude.
1. Turn the calculator on and press Y= and CL to clear old expressions.
2. Enter y = sin x for Y1 by pressing sin X/θ/T/n.
3. Enter y = 3 sin x for Y2 by pressing 3 sin X/θ/T/n.
4. Press ZOOM A (ZOOM) 5 (Default) to view the graphs.
5. Notice that the 3 in front of the sine function makes the curve oscillate
between 3 and -3 instead of 1 and -1.
6. Press Y= ▼CL to clear Y2. Enter y= -2 sin x for Y2 by pressing
( - ) 2 sin X/θ/T/n.
7. Press GRAPH to view the graphs. Notice that the -2 in front of the sine
function makes the curve reflect on the x-axis and makes the curve oscillate
between -2 and 2.
AMPLITUDE
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 θby 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/nENTER 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 2πto π.
Investigate the change in a trigonometric function by subtracting
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.
PERIOD AND PHASE SHIFT
3π
2
7
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
To compute the inverse sine function in degrees:
1. Turn the calculator on and press CL to enter computation mode.
2. Change to degree mode by pressing 2ndF SET UP B (DRG) and
1(Deg). Press 2ndF QUIT to exit the menu.
3. Find sin–1 (.5) by pressing 2ndF sin-1 • 5 ENTER . The answer of 30°
is shown below.
To graph the inverse sine function in degrees:
1. Press Y= CL to access and clear the Y1 expression.
2. Press ENTER CL to clear additional Y expressions.
3. Enter sin-1 xfor Y1 by pressing 2ndF sin-1 X/θ/T/nENTER .
4. Set your viewing window by pressing ZOOM E (TRIG) and
4(sin-1 x).
INVERSE TRIGONOMETRIC FUNCTIONS
×
+–
÷
8
Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
To compute the inverse sine function in radians:
1. Turn the calculator on and press CL to access and clear the
home screen.
2. Change to radian mode by pressing 2ndF SET UP B (DRG)
and 2 (Rad). Press 2ndF QUIT to exit the menu.
3. Find sin-1 (.4), press 2ndF sin-1 • 4 ENTER . The answer of .4115
radians is shown below. To find the result in terms of πpress ÷ 2ndF
πENTER .
To graph the inverse cosine function in radians:
1. Press Y= CL to access and clear the Y1 prompt.
2. Enter cos -1 xfor Y1 by pressing 2ndF cos-1 X/θ/T/nENTER .
3. Set your viewing window by pressing ZOOM E (TRIG) and
5 (cos-1 x).
INVERSE TRIGONOMETRIC FUNCTIONS
×
+–
÷
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