Canon F789sga User Manual

							30
 Trigonometry Calculations 
  Before using the trigonometric functions (except hyperbolic calculations), select the appropriate angle unit 
(Deg/Rad/Gra) by pressing              .
  90º =     Radians = 100 Gradients.
Deg
Rad
Gra Units of 15º
Multiples of        radians
Multiples of       grads
Degree Mode
Sin 60 = 
       
=Cosec 45º =  
sin(60
sin(45)
-1
Display
Key in operation
Example
Angle Value Input
Angle Unit 
Setting Input Value Range 
for    form result
1
12
50 3
1
Sin 45o
D
 3
2 3
2
2
MATHEMATICS MODE:
  Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic 
(sinh-1/cosh-1/tanh-1) functions
  Press        to enter the sub-hyperbolic menu.
sinh2.5 – cosh 2.5 
= -0.082084998
Cosh
-145 
= 4.499686191 sinh(2.5) – cosh( 
 
    -0.08208499862
Display
Key in operation
Example
cosh-1(45
 4.499686191 
						

							31
 Random Number Generation
                : Generate a random number between 0.000 and  0.999. The display result will be in fraction format in 
Maths mode.
                : Generate a random number between two specified  positive integers. The entry is divided by “.”
*The value shown here is only a sample, results will differ each time.
Generate a random 
number between 
0.000 & 0.999
Generate an integer 
from a range of 1 to 
100
Display
Key in operation
Example
Rand
 
i~Rand(1,100
 33139
1000
MATHEMATICS MODE:
  Permutation:  
  Combination:  
  Factorial :   
10P3 = 720
5C2 = 10
5! = 120 10P3
 720
5C2
 10
5!
 120
Display
Key in operation
Example
 Permutation, Combination, Factorials and Random 
 Number Generation 
						

							32
Apps
720
(x + 1)=0
Apps
20
To calculate Maximum
value of 3, sin30 and 
cos30
To calculate Minimum
value of 3, sin30 and 
cos30Max(3, sin(30), CApps
Min(3, sin(30), CApps
Maximum Value and Minimum Value Calculation  
						

							33
  LCM: Calculate the least common multiple among (maximum) three positive integers.
  GCD: Calculate the greatest common divisor among  (maximum) three positive integers.
LCM(15, 27, 39) 
= 1755 LCM(15,27,39
 
 1755
Display
Key in operation
Example
MATHEMATICS MODE:
GCD(12, 24, 60) 
= 12 GCD(12,24,60
 
 12
Display
Key in operation
Example
LINE MODE:
Apps
Apps
 Least Common Multiple and Greatest Common Divisor
Modulus After Division (Mod) Calculation
Mod(23, 5
Mod(-23, 5Apps
Apps 
						

							34
MATHEMATICS MODE:
 Prime Factorization 
•  Factor a positive integer of up to 10 digits into prime 
factors of up to 3 digits. 
    
       
Ptact Number : 0 < X < 99999 99999 (X is integer)     
•  The reminder that cannot be factored will be  enclosed in 
parentheses on the display. 
Example: 99999 99999 = 32 x 11 x 41 x 271 x (9091)
Key in Operation Display
NOTE:
•  During any calculation operations, pressing                or           \
              or         or        key will exit the prime factorization 
result display. 
 •  Use the setup menu to change the angle unit setting  (Deg, Rad, Gra) or display digit setting (Fix, Sci, Norm).
•  [Math ERROR] will be shown if decimal value, fraction,  negative value calculation result, or Pol, Rec, Q...R is 
displayed.
9999999999
 
 3
2x11x41x271x(9
1777
 
                             (1777) 
						

							35
  “Quotient” (Q) is the result in a division problem, “Remainde\
r” (r) is the value remaining in an integer division problem.
  The calculated quotient value (Q) and remainder (r) will be  stored into memory variables “C” and “D”, automatically 
assigned.
  In Maths mode, press      or      to scroll through a  long  calculation result.
  In Line mode, the quotient value (Q) and remainder (r) will be  shown over 2 lines.
  Only the Quotient Value (Q) can continue to be used for the  next calculation or be stored into memory variables.
  With polar coordinates, you can calculate and Display θ within the range of –180º < θ ≤ 180º. (Same as Radian and 
Gradient)
  In Maths mode, press       or      to scroll the through  calculation result.
  In Line mode, (x,y)  or (r, θ) will be shown over 2 lines.
  After conversion, the results will automatically be assigned to  memory variables X and Y. Press               or       to show the 
results.
Rectangular Coordinates 
(Rec) Polar Coordinates (Pol)
LINE MODE:
35 ÷ 10 = 3 x 10 +5
Q=3
R=5
Quotient value (Q) + 3 
= 6
Recall Quotient 
value (Q)
Recall Remainder 
value (r) Q…r(35, 10
Q= 3
R= 5
Ans+3
 6
C
 3
D
 5
Display
Key in operation
ExampleApps
 Quotient and Remainder Calculations
 Coordinate Conversion
NOTE:
•  During any calculation operations, pressing                or           \
     
         or         or        key will exit the prime factorization 
result display. 
 •  Use the setup menu to change the angle unit setting  (Deg, Rad, Gra) or display digit setting (Fix, Sci, Norm).
•  [Math ERROR] will be shown if decimal value, fraction,  negative value calculation result, or Pol, Rec, Q...R is 
displayed.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
						

							36
:  Convert rectangular coordinates (x, y) to polar coordinates (r, θ); Press               for r, or               
for θ.
:  Convert polar coordinates (r, θ) to rectangular  coordinates (x, y); Press                for x, or             
for y.
With rectangular 
coordinate (x=1, y=
√3). Find Polar 
coordinate (r, θ) at 
degree mode
1÷200 = 5x
10 -31÷200
 5
x10 -31÷200
 5000x10-61÷200
 5x10-3
2.573442045
Rec(2, 60
X= 1
Y=  1.732050808
X
 1
Y
  1.732050808 Pol(1, √3
  r=2, θ=60
X
 2
Y
 60
Display
Key in operation
Example
With Polar coordinate (r=2, θ=60º). 
Find Rectangular 
coordinate (x, y) at 
degree mode
Display
Key in operation
Example
Display
Key in operation
Example
Display
Key in operation
Example
MATHEMATICS MODE:
LINE MODE:
MATHEMATICS MODE:
LINE MODE:
 Absolute Value Calculation
 Engineering Notation 
						

							37
  Press                 to enter CPLX mode. 
 Press        to select the calculation type.
Complex Number Type SelectionThere are 6 types of complex number calculations in the  Complex 
Number Type screen. Press the number to select the type of 
Complex Number Calculation:
  Check the current angle unit setting (Deg, Rad, Grad). 
  [   ] indicates the display result is the imaginary number; 
  [     ] indicates the display value is the argument value   . 
  Imaginary numbers will use up replay memory capacity.  
Complex Number Calculations 
Complex numbers can be expressed in rectangular form (z = a + bi) 
or polar form (r      ). Where " a " is the real number, " bi " is the 
imaginary number (and i is the imaginary unit equal to the square 
root of –1,   
-1), " r " is the absolute value, and "    " is the argument of 
the complex number.
r
4
0 3Real axis
Imaginary axis ( i
)
Apps
Rectangular Form and Polar Form ConversionPressing                can convert rectangular form complex numbers 
into polar form; whereas pressing                will convert polar form 
complex numbers into rectangular form.
Display
Key in operation
Example
MATHEMATICS MODE:
3+4   =
      5   53.13010235
 2
						

							38
Absolute value (r) 
and argument (   ) if 
complex number is 
6+8
Absolute Value and Argument CalculationWith the rectangular form complex number, you can calculate 
the corresponding absolute value (r) or argument (   ) by 
pressing         or                respectively. 
Conjugate of a Complex NumberIf the complex number is z = a + bi, the conjugate value of this 
complex number should be z = a – bi.
Determine the Real/Imaginary Values of a Complex 
Number
LINE MODE:
Display
Key in operation
Example
MATHEMATICS MODE:
Real and Imaginary 
values of a complex 
number is 23
						

							39
 Base-n Calculations and Logical Calculations Press                  to enter Base-n mode. 
  Decimal (base 10), hexadecimal (base 16), binary (base 2), octal  (base 8), or logical calculations. 
  To select a specific number system in base mode, simply press 
        Decimal [DEC],       Hexadecimal [HEX],       Binary [BIN] or
        Octal [OCT].
  Press         key to perform logical calculations including: Logic  connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor], 
argument complement [Not] and negation [Neg].
  If the binary or octal calculation result is more than 8 digits, 
  will be displayed to indicate the result has a next block. Press               
         to loop between result blocks.  
  In Base-n mode all the scientific functions cannot be used, and  you cannot input the value with decimal places or exponents.MODE
Display
Key in operation
Example
10101011+1100–
1001x101÷10
=10100001 
(in Binary Mode)
10101011+1100–1 
BIN
1010 0001
645+321–23x7÷2
=1064 
(in Octal Mode)
645+321-23x7÷2  OCT
00000001064
(77A6C+D9)xB÷F
=57C87
(in Hexadecimal Mode)
(77A6C+D9)xB÷F 
HEX
00057C87
Base-n Transformation
Display
Key in operation
Example
12345+101=12446 12345+101 
DEC
12446
12345+101  HEX
000309E
12345+101  OCT
00000030236
Apps
MATHEMATICS MODE:
12345+101 
    BIK 1/2           BIN 1001 1110