xThe device has a wide range of built-in functions for scientific, mathematical and statistical calculations. They are listed below alphabetically. All the functions listed below can be used in My programs-Add in. They may also be used as BASIC commands within programs.
For trigonometric functions, entries can be made in degrees, radians or as a gradient value, as appropriate:
| DEGREE: | Set the device to degree entry mode, this is the default mode. |
| RADIAN: | Set the device to radian entry mode. |
| GRAD: | Set the device to gradient entry mode. |
These three modes (DEGREE, RADIAN, and GRAD) can be set from within a program. Once one mode is set, all entries for trigonometric functions must be in the units set (degrees, radians, or gradient values) until the mode is changed in a program. At the beginning of a program the form of angular values to decimal degrees.
ABS ACS
AHC AHS
AHT ASN
ATN
COS CUB
CUR
DEG DMS
EXP
FACT
HCS HSN
HTN
INT
LN LOG
NCR NPR
PI POL ^(Power)
RCP REC
RND
SGN SIN
SQR SQU
TAN TEN
Remarks: Returns the absolute value of the numeric argument. The absolute value is the magnitude of the number irrespective of its sign. ABS-10 is 10.
Example: 10 PRINT ABS-10 (Answer=)10
Remarks: Returns the arc cosine of the numeric argument. The arc cosine is the angle whose cosine is equal to the argument. The value returned depends on the mode (DEGREE, RADIAN, or GRAD).
Example: 10 DEGREE 20 PRINT ACS-0.5 (Answer=)120
Remarks: Returns the inverse hyperbolic cosine of the numeric argument.
Example: 10 PRINT AHC 10 (Answer=)2.993222846
Remarks: Returns the inverse hyperbolic sine of the numeric argument.
Example: 10 PRINT AHS 27.3 (Answer=)4.000369154
Remarks: Returns the inverse hyperbolic tangent of the numeric argument.
Example: 10 PRINT AHT 0.7 (Answer=)8.673005277E-01
Remarks: Returns the arc sine of the numeric argument. The arc sine is the angle whose sine is equal to the argument. The value returned depends on the mode (DEGREE, RADIAN or GRAD).
Example: 10 DEGREE 20 PRINT ASN 0.5 (Answer=)30
Remarks: Returns the arc tangent of the numeric argument. The value returned depends on the mode (DEGREE, RADIAN or GRAD).
Example: 10 DEGREE 20 PRINT ATN 1 (Answer=)45
Remarks: Returns the cosine of the angle argument. The value returned depends on the mode (DEGREE, RADIAN or GRAD).
Example: 10 DEGREE 20 PRINT COS 120 (Answer=)-0.5
Remarks: Returns the cube of the argument.
Example: 10 PRINT CUB 3 (Answer=)27
xRemarks: Returns the cube root of the argument.
Example: 10 PRINT CUR 125 (Answer=)5
Function: Deg/min/sec to decimal conversion
Remarks: Converts an angle argument in DMS (Degree, Minutes, Seconds) format to DEG (Decimal Degrees) format. In DMS format the integer portion of the number represents degrees, the first and second digits after the decimal point represent minutes, the third and fourth digits after the decimal point represent seconds, and any further digits represent fractional seconds.
Example:
10 PRINT DEG 30.5230
(Answer=)30.875
Return to Top
Function: Decimal to deg/min/sec conversion
Remarks: Converts an angle argument in DEG format to DMS format (see DEG).
Example:
10 PRINT DMS 124.8055
(Answer=)124.48198
Return to TopRemarks: Returns the value of e (2.718281828... the base of natural logarithms) raised to the value of the numeric argument.
Example: 10 PRINT EXP 1.2 (Answer=)3.320116923
Remarks: Returns the factorial of the argument.
Example: 10 PRINT FACT 7 (Answer=)5040
Remarks: Returns the hyperbolic cosine of the numeric argument.
Example: 10 PRINT HCS 3 (Answer=)10.067662
Remarks: Returns the hyperbolic sine of the numeric argument.
Example: 10 PRINT HSN 4 (Answer=)27.2899172
Remarks: Returns the hyperbolic tangent of the numeric argument.
Example: 10 PRINT HTN 0.9 (Answer=)7.162978702E-01
Function: Integer
Remarks: Maximum integer equal or less than numeric argument. The integer portion of PI is 3.
Example:
10 PRINT INT -1.9
(Answer=)-2
Return to TopRemarks: Returns the logarithm to the base e (2.718281828...) of the numeric argument.
Example: 10 PRINT LN 2 (Answer=)6.931471806E-01
Remarks: Returns the logarithm to the base 10 of the numeric argument.
Example: 10 PRINT LOG 1000 (Answer=)3
Remarks: Enter the values as NCR (n,r).
Example: 10 PRINT NCR(6,3) (Answer=)20
Remarks: Enter the values as NPR (n,r).
Example: 10 PRINT NPR(6,3) (Answer=)120
Function: PI
Remarks: PI is a numeric pseudovariable that has the value of pi. The value of PI has 10-digit accuracy.
Example:
10 PRINT PI
(Answer=)3.141592654
Return to TopRemarks: Converts numeric arguments of rectangular coordinates to their polar coordinate equivalents. Enter the values as POL(x,y). The first argument indicates the distance from the y-axis and the second the distance from the x-axis. The values converted indicate the distance from the origin and the angle in the polar coordinates, and are assigned to the variables Y and Z respectively. The angle depends on the mode (DEGREE, RADIAN, or GRAD).
Example: 10 DEGREE 20 PRINT POL(8,6) 30 PRINT Z 40 PRINT Y
(Answer) [20]10 (=r) [30]36.86989765 (=angle) [40]10 (=r)
Remarks: Returns the xth power of the numeric argument. Enter as y ^ x.
Example: 10 PRINT 4^2.5 (Answer=)32
Remarks: Returns the reciprocal of the numeric argument.
Example: 10 PRINT RCP 4 (Answer=)0.25
Remarks: Converts numeric arguments of polar coordinates to their rectangular coordinate equivalents. Enter the values as REC(r,angle). The first argument indicates the distance from the origin and the second argument the angle. The angle depends on the mode (DEGREE, RADIAN or GRAD). The converted values indicate the distances from the y-axis and the x-axis, and are assigned to the variables Y and Z, respectively.
Example: 10 DEGREE 20 PRINT REC(12,30) 30 PRINT Z 40 PRINT Y
(Answer) [20]10.39230485 (=x) [30]6 (=y) [40]10.39230485 (=x)
Function: Random number
Remarks: See RND and RANDOMIZE in the BASIC COMMAND DICTIONARY.
Return to TopFunction: Sign of argument
Remarks: Returns a value based on the sign of the argument.
If x>0, the function returns
1.
If x<0, the function returns
-1.
If x=0, the function returns 0.
Remarks: Returns the sine of the angle argument. The value returned depends on the mode (DEGREE, RADIAN or GRAD).
Example: 10 DEGREE 20 PRINT SIN 30 (Answer=)0.5
xRemarks: Returns the square root of argument.
Example: 10 PRINT SQR 3 (Answer=)1.732050808
Remarks: Returns the square of the argument.
Example: 10 PRINT SQU 4 (Answer=)16
Remarks: Returns the tangent of the angle argument. The value returned depends on the mode (DEGREE, RADIAN or GRAD)
Example: 10 DEGREE 20 PRINT TAN 45 (Answer=)1
Remarks: Returns the value of 10 (the base of the common log) raised to the value of the numeric argument.
Example: 10 PRINT TEN 3 (Answer=)1000
Numerical Calculations:
For a calculation involving x, the number x must be within one of the ranges
below:
-1x10100 < x <= -1x10-99
for negative x
10-99<= x<10100
for positive x
x=0
Note: =/= means not equal.
| Function | Range of x |
|---|---|
| SIN x COS x TAN x |
DEGREE: |x|<1x1010 RADIAN : |x|<(pi/180)x1010 GRAD: |x|<(10/9)x1010 Also, for tan x only: (n=integer) DEGREE: |x|=/=90x(2n-1) RADIAN: |x|=/=(pi/2)x(2n-1) GRAD: |x|=/=100x(2n-1) |
| ASN x ACS x |
-1<=x<=1 |
| ATN x | |x|<1x10100 |
| HSN x HCS x HTN x | -227.9559242<=x<=230.2585092 |
| AHS x | |x|<1x1050 |
| AHC x | 1<=x <1x1050 |
| AHT x | |x|<1 |
| LN x LOG x | 1x10-99 <=x< 1x10100 |
| EXP x | -1x10100 <x<=230.2585092 |
| TEN x | -1x10100 <x<100 |
| CUR x | |x|<1x10100 |
| RCP x | |x|<1x10100, x =/=0 |
| SQU x | |x|<1x1050 |
| SQR x | 0<=x<1x10100 |
| CUB x | |x|<2.154434690x1033 |
| FACT x | 0<=x<=69 (x=integer) |
| DMS x DEG x | |x|<1x10100 |
| y^x (yx) (yx=10x.log y) |
when y>0, -1x10100 <x log y<100 when y=0, x>0 when y<0, x=integer or(1/X)=odd integer(x=/=0) and -1x10100 <x log |y|<100 |
| xy (yx=10x.log y) |
when y>0, -1x10100 <1/x X log y<100, x=/=0 when y=0, x>0 when y<0, x or 1/x must be non-zero integer, and -1x10100 <1/x X log |y|<100 |
| POL(x,y) x,y -> r,  |
(x2+y2)<1x10100 (r= (x2+y2)) x/y < 1x10100 ( =tan-1 y/x) |
| REC(r,) r, ->x,y |
r<1x10100 (x=r cos) |r sin |<1x10100 (y=r sin)|r cos |<1x10100 |
| &Hx | 0<=x<=2540BE3FF |
| NPR(n,r) | n!/(n-r)!<10100 0<=r<=n<9999999999 n,r integers |
| NCR(n,r) | n!/((n-r)!xr!)<10100 0<=r<=n<9999999999 n,r integers when n-r<r, n-r<=69 when n-r=>r, r<=69 |