Canon F715sg User Guide
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Example: ( 3 26 + 5 243 )-1 = 0.142857142 (3 2^6 + 5 x 24 0.142857142 Square, Root, Cube, Cube Root, Powe r, Power Root, Reciprocal and Pi Example: ( 3 -22 + 53 )-1 x = 0.621755977 (3 ((-2)2 + 530.621755977 FUNCTION AL SCIENTIFIC CAL CULATIONS Press to enter COM P mode for performing functional scientific calculations. During the busy calculation, the calculator will display the message [PROCESSING]. = 3.14159265359 e = 2.71828182846 Logarithm, Natural Logarithm, Antilogarithm and Logab e-3 + 101.2 + ln 3 = 16.9973312 8 16.99733128 log 381 log 1 = 4 . 4 21 Display (Upper) Operation Display (Lower) Display (Upper) Operation Display (Lower) Examples Operation Display (Lower)
Angle Unit Conversion The calculator default angle unit setting is Degree. If you need to times until you reach the setup screen: Then press the corresponding number key , , or for th\ e angle unit you need. Then the display will show the , , or indicator accordingl y. T o convert an angle unit between Degree, Radian and Grade, you can press and the following display menu will be shown: Then, press , , or will convert the displayed value i\ nto the selected angle unit. Example: Convert 180 degree into radian and grade (180 o = Rad = 200Gra) DegRadGra 1 23 D RG 1 23 4 5 6 2 9 5 1 4 1 . 3 0 8 1 . 0 0 2 0 8 1 change into Radian or Grade, you can press a number of ( R adia n m ode ) ( G ra de m ode ) 22 Display (Upper)OperationDisplay (Lower)
Trigonometry Calculations Before using the trigonometric functions (except hyperbolic calculations), select the appropriate angle unit (Deg/ Rad/ Gra) by . 90 o = Radians = 100 Grade. Trigonometric (sin/ cos/ tan), Inverse Trigonometric (sin -1/ cos-1/ tan-1) Functions . 0 e d o M e e r g e D sin 53o 22 12 = 0.8025051820.802505182 cosec x = 1/sinx 1.414213562 cosec 45 o = 1.41421356 2 tan-1 (5/6) = 39.80557109o39.80557109 . 0 e d o M n a i d a R 0.785398163 0.7853981630.866025403 5 2 . 0 ) d a R ( 5 2 . 0 1 = 2cos-1 Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic (sinh-1/ cosh-1/ tanh-1) Functions sinh 2.5 cosh 2.5 = -0.08208499 8 -0.082084998 cosh -1 45 = 4.49968619 1 4.499686191 cos( /6) = 0.866025403Rad 23 Examples OperationDisplay (Lower) Examples OperationDisplay (Lower)
* 3 3 8 . 0 d n a R i~Rand(1,10 0 83.* Random Number Generation:To generate a random number between 0.000 and 0.999 : To generate a random number between two specified positive integers. The entry is divided with , . Example: To generate a random number between 0.000 and 0.999; and generate an integer from range of 1 to 100 * The value is only a sample, results will differ each time. 10P3. 0 2 7 5C2. 0 1 0 2 1 ! 5 Permutation, Combination, Factorials and Random Number Generation Permutatio n: nPr = Combinatio n: nCr = Factorial : x! = x(x-1)(x-2).....(2)(1)n! ( n -r ) n ! r!(n -r ) ! ! 24 Examples OperationDisplay (Lower) OperationDisplay (Lower) Display (Upper)
. 3 0 1 , 5 3 ( r . . . Q Q . 5 0 1 , 5 3 ( r . . . Qr . 6 3 + s n A . 3 = C ) e u l a v t n e i t o u q l l a c e r ( . 5 = D ) e u l a v r e d n i a m e r l l a c e r ( OperationDisplay (Lower) Display (Upper) Least Common Multiple and Greatest Common Divisor LCM: Calculate the least common multiple among (maximum) three positive integers. GCD: Calculate the greatest common divisor among (maximum) three positive integers. Quotient & Remainder ! Inputting a zero [ 0 ] value in a LCM/ GCD calculation, the calculator will skip the [0] value and continue the calculation with the non-zero integrs. ! [Math ERROR] will be shown when decimal numbers or negative integers had been input. ! Only integers are allowed. [Math ERROR] will be shown when decimal numbers, non-integers (e.g. sin 60), or dividend value “zero [ 0 ]” had been input. ! Only Quotient Value (Q) can continue to be used for the next calculation or being stored into memory variables. Quotient (Q) is the result of a division problem, Remainder(r) is the value left in an integer division problem. The calculated quotient value (Q) and remainder value (r) will be stored into memory variables C and D automatically assigned. Example: 35 10 = 3 x 10 + 5 ( 3 is Quotient, 5 is Remainder) LCM(15, 27, 39) = 175 5 1,755. GCD(12, 24, 60) = 12 . 2 1 25 Examples OperationDisplay (Lower)
| sin(60 5) x (- ) | = 2.57344204 5 2.573442045 Absolute Value Calculation Coordinate Conversion With polar coordinates, you can calculate and display within -180o < 180o range. (Same as Radian and Gradient) After conversion, results will automatically assigned to memory variables X and Y . : To convert rectangular coordinates (x, y) to polar coordinates ( r , ); Press to display the value of r , or to display the value of . : To converts polar coordinates ( r , ) to rectangular coordinates(x, y); Press to display the value of x, or to display the value of y. ! [Syntax ERROR] will be shown if is missed in the coordinate conversion calculation. With Polar coordinate 1. (r=2, =60o8 0 8 0 5 0 2 3 7 . 1 r a l u g n a t c e r d n i F . )coordinate (x,y) at degree mode. 1 With rectangular coordinat e . 2 r a l o P d n i F . ) 3 = y , 1 = x ( . 0 6 e e r g e d t a ) , r ( e t a n i d r o o c . 2 e d o m 26 Examples OperationDisplay (Lower) ExamplesOperationDisplay (Lower) Examples OperationDisplay (Lower)
STATISTICAL CA LCULA TIONS [SD] [REG] T o enter the standard deviation mode by pressing , [SD] indicator lights up. If press , you can enter the regression mode selection menu. [REG] indicator will be turned on. Before starting, be sure to clear the statistic memory by pressing . Perform the data input . In SD mode, store the displayed data by pressing , pressing will input the same data twice. In REG mode, store the x-data and y-data in the form of: x-data y-data , pressing will input the same data twice. Use for same data multiple entries. For example in SD mode, the data 20 has 8 times will press 20 8 . Each time you press to register the input, the number of data input up to that point is indicated on the display once (n = the number of input data). Press or key during or after data input can display the data value (x) and data frequency (Freq). Follow with the above example, press will display [x1 = 20], and press will display [Freq1= 8]. 27
To edit the stored data, input the new value during the display of that data value (x) after pressing or key , and then press to confirm the edit. But, if you press instead of , a new data value will be stored. Press can delete the data during the display of that data value (x) after or key is pressed; and the sequence of the data which following the deleted data will be shifted up automaticall y. Press or key to exit the data value and frequency display, then you can perform other calculation operations. Input data are stored in calculation memor y. As the memory full, [Data Full] will be displayed and you cannot input or perform any calculation. Press , or key will display the options [EditOFF] or [ESC]. After changing into another mode or regression type (Lin, Log, Exp, Pwr , Inv, Quad), input data will be cleared. After finishing data entries, you can recall or calculate the statistical values. Edit OFF (Press ) : ESC (Press ) : Keep on inputting data without storing into the memory , and you are not able to display or edit any of the data you had input. Just exit data input without registering the data into the memor y. 28
Example: To calculate x2, x, x, x n , x n-1, minX, maxX, and med of data: 75, 85, 90, 77, 77 in SD mode. Standard Deviation Press to ender SD mode. Before starting, be sure to clear the statistical memory by pressing . Y ou can recall the following statistical value after input all data. Regression Calculations Press to ender REG mode, then the follow screen options will be shown: Press , or for [Lin] = Linear regression, [Log] = Logarithmic regression, [Exp] = Exponential regression. Stat clear . 5 = n x 232,808. . 4 0 4 x 8 . 0 8 x x n5.741080038 x n-16.418722614 . 5 7 X n i m . 0 9 X x a m . 7 7 d e m ) r e w o L ( y a l p s i D n o i t a r e p ODisplay (Upper) Lin LogExp 1 23 Summation of x ( x ) Mean of x ( x ) Sum of Square ( x2 ) Maximum value of x ( maxX ) Number of data sample ( n )Minimum value of x ( minX ) Population Standard Deviation of x ( x n )Median value ( med ) Sample Standard Deviation of x ( x n-1 ) Value (Symbol) --- ----------- - . 29
n o i t a r e p O e u l a V Symbol Summation of all x2 value x2 Summation of all x value x Number of data sample n Summation of all y 2 values y2 Summation of all y value s y Summation of all xy pairs xy x s e u l a v x e h t f o n a e M Population Standard Deviation of xx n Sample Standard Deviation of xx n-1 y s e u l a v y e h t f o n a e M Population Standard Deviation of yy n Sample Standard Deviation of yy n-1 Regression coe fficient A A Regression coe fficient B B X n i m X f o e u l a v m u m i n i M Maximum value of X maxX Y n i m Y f o e u l a v m u m i n i M Maximum value of Y maxY If follow with or another regression options will be display\ ed as follow: You can press , or for [Pwr] = Power regression, [Inv] = Inverse regression, [Quad] = Quadratic regression. Before starting, be sure to clear the statistical memory by pressing Input data in the form of x-data y-data . Use f\ or same data multiple entries. Press can delete the data during the display of data value\ after or key is pressed.You can recall and use the following regression results: Pwr InvQuad 1 23 30