Canon F792sga Owners Manual
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31 19 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 settingInput value range for form result 1 12 50 3 1Sin 45o D 3 2 3 2 2 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 MATHEMATICS MODE:
32 20 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 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 MATHEMATICS MODE:
33 21 Apps 720 (x + 1)=0 To calculate Maximum value of 3, sin30 and cos60 To calculate Minimum value of 3, sin30 and cos60 Max(3, sin(30), CApps Min(3, sin(30), CApps Maximum Value and Minimum Value Calculation MATHEMATICS MODE: Apps 20 LINE MODE: MATHEMATICS MODE:
34 22 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 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 MATHEMATICS MODE: MATHEMATICS MODE:
23 35 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 remainder 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 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) MATHEMATICS MODE:
24 36 “Quotient” (Q) is the result in a division problem, “Remainder” (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. 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 6C 3D 5 Display Key in operation Example Rectangular Coordinates (Rec) Polar Coordinates (Pol) LINE MODE: NOTE: • During any calculation operations, pressing or or or 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. Apps Quotient and Remainder Calculations Coordinate Conversion
37 : 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 LINE MODE: LINE MODE: Absolute Value Calculation Engineering Notation MATHEMATICS MODE: MATHEMATICS MODE:
38 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 3+4 = 5 53.13010235 2
39 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 Real and Imaginary values of a complex number is 23
40 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 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 0000309E 12345+101 OCT 00000030236 Apps 12345+101 BIK 1/2 BIN 1001 1110 MATHEMATICS MODE: