Sharp El-5020 User Manual

							
Sharp EL-5020 
Introduction 
 
This model of calculator can store up to two calculation programs under 1: and 2:. To store a 
program, press  MODE   1  to enter the AER mode and then 
press  2ndF   _  or  2ndF   `  to specify where to store the program. 
 
Self-designed program 
Steps for storing the calculation program for each of the following items are illustrated below. All 
programs are stored under 1: for illustration purpose. 
1. Simultaneous Linear Equations ( 
2. Slope and Length ( 
3. Cosine Formula ( 
4. Heron’s Formula ( 
5. Centre and Radius of a Circle ( 
6. Quadratic Formula ( 
 
Build-in function 
1. Mean and Standard Deviation ( 
 
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Sharp EL-5020 
Useful Program Commands 
The following are some program commands and their corresponding keystrokes under the AER 
mode. 
Program Command Keystrokes under the AER mode 
x ≠ M  2ndF   4  
x < M  2ndF   5  
x ≤ M  2ndF   6  
x = M  2ndF   7  
x > M  2ndF   8  
x ≥ M  2ndF   9  
，  2ndF   3  
9  2ndF   2  
DRG  2ndF   y  
A  ALPHA   MODE  
B  ALPHA   hyp  
C  ALPHA   sin  
D  ALPHA   cos  
E  ALPHA   tan  
F  ALPHA   xPOL  
M  ALPHA   M+  
 
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Sharp EL-5020 
Simultaneous Linear Equations 
This program is used to solve simultaneous linear equations in two unknowns in the form of 
, where a, b, c, d , e and f are real numbers. 
⎩
⎨⎧
=+
=+
feydx
cbyax
 
Storing the program: 
Step 1 2 3 4 5 6 7 
Key  MODE   1   2ndF  _   2ndF  ON/C   =  
 
Step 8 9 10 11 12 13 14 
Key A 9 B 9 C 9 D 
 
Step 15 16 17 18 19 20 21 
Key 9 E 9 F B  -  C 
 
Step 22 23 24 25 26 27 28 
Key E  )   ÷   (  B D  -  
 
Step 29 30 31 32 33 34 35 
Key A E  STO   tan  ， C  -  
 
Step 36 37 38 39 40 41 42 
Key A E  )   ÷  B  STO   xPOL 
 
Step 43 44      
Key  MODE   0       
 
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Sharp EL-5020 
Executing the program: 
Examples: 
(a) Solve the simultaneous linear equations . 
⎩
⎨⎧
=−
=−
954
832
yx
yx
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  2   =  
 3   +/-   =  
 8   =  
 4   =  
 5   +/-   =  
 9   =  
-6.5 Value of x 
4.  =  -7 Value of y 
Note: Pressing  =  after the last procedure allows the program to be executed again. 
 
(b) Solve the simultaneous linear equations . 
⎩
⎨⎧
−=+
−=+
962
83
yx
yx
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  1   =  
 3   =  
 8   +/-   =  
 2   =  
 6   =  
 9   +/-   =  
Er2 No solution or infinitely 
many solutions 
Note: Press  ON/C  to exit the program. 
 
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Sharp EL-5020 
(c) Solve the simultaneous linear equations . 
⎩
⎨⎧
−=+
−=
943
82
yx
x
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  2   =  
 0   =  
 8   +/-   =  
 3   =  
 4   =  
 9   +/-   =  
-4 Value of x 
4.  =  Er2 The second number input 
cannot be 0. 
Notes: (i) Press  ON/C  to exit the program. 
 (ii) To avoid the error in procedure 4, rearrange  as . 
⎩
⎨⎧
−=+
−=
943
82
yx
x
⎩
⎨⎧
−=
−=+
82
943
x
yx
 
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Sharp EL-5020 
Slope and Length 
Given two points A(x1, y1) and B(x2, y2), 
slope of AB 
12
12
xx
yy
−
−=, 
length of AB 212212)()(yyxx−+−=. 
 
This program is used to find out the length and slope of the line segment on a rectangular 
coordinate plane joining two given points. 
 
Storing the program: 
Step 1 2 3 4 5 6 7 
Key  MODE   1   2ndF  _   2ndF  ON/C   =  
 
Step 8 9 10 11 12 13 14 
Key A 9 B 9 C  -  A 
 
Step 15 16 17 18 19 20 21 
Key  STO   sin  D  -  B  STO   cos  
 
Step 22 23 24 25 26 27 28 
Key C  xPOL  D ， D  ÷  C 
 
Step 29 30      
Key  MODE   0       
 
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Sharp EL-5020 
Executing the program: 
Examples: 
(a) Given two points A(1, −4) and B(5, −1), find the length and slope of AB. 
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  1   =  
 4   +/-   =  
 5   =  
 1   +/-   =  
5 Length of AB 
4.  =  0.75 Slope of AB 
Note: Pressing  =  after the last procedure allows the program to be executed again. 
 
(b) Given two points A(3, −4) and B(3, −9), find the length and slope of AB. 
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  3   =  
 4   +/-   =  
 3   =  
 9   +/-   =  
5 Length of AB 
4.  =  Er2 Slope of AB is undefined, 
which means AB ⊥ x-axis.
Note: Press  ON/C  to exit the program. 
 
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Sharp EL-5020 
Cosine Formula 
A
BCa
bc
In ∆ABC, 
Abccbacos2222−+= 
Baccabcos2222−+= 
Cabbaccos2222−+= 
 
When two sides and their included angle of a triangle are given, this 
program can be used to find the length of the remaining side of the 
triangle. 
 
Storing the program: 
Step 1 2 3 4 5 6 7 
Key  MODE   1   2ndF  _   2ndF  ON/C   =  
 
Step 8 9 10 11 12 13 14 
Key  √   (  A  x2   +  B  x2  
 
Step 15 16 17 18 19 20 21 
Key  -   2  A B  cos  C  MODE 
 
Step 22       
Key  0        
 
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Sharp EL-5020 
Executing the program: 
Example: 
In ∆ABC, if a = 6, b = 4 and C = 50°, find c. 
Procedure Display Remark 
1.  MODE   0   DEG mode 
2.  2ndF   _   Execute program 1: 
3.  6   =  
 4   =  
 5   0   =  
4.598499183 Length of c 
Note: Pressing  =  after the last procedure allows the program to be executed again. 
 
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Sharp EL-5020 
Heron’s Formula 
Given three sides a, b and c of a triangle, A
BCa
bc
area of ∆ABC ))()((csbsass−−−= 
where 2
cbas++=. 
 
This program is used to calculate the area of a triangle when three 
sides are given. 
 
Storing the program: 
Step 1 2 3 4 5 6 7 
Key  MODE   1   2ndF  _   2ndF  ON/C   =  
 
Step 8 9 10 11 12 13 14 
Key A  STO   cos  B  +  D  STO  
 
Step 15 16 17 18 19 20 21 
Key  cos  C  +  D  STO   cos  D 
 
Step 22 23 24 25 26 27 28 
Key  ÷   2   STO   cos   √   (  D 
 
Step 29 30 31 32 33 34 35 
Key  (  D  -  A  )   (  D 
 
Step 36 37 38 39 40 41 42 
Key  -  B  )   (  D  -  C 
 
Step 43 44 45 46 47   
Key  )   STO   cos   MODE  0    
 
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