Abcuv; Acos2S; Addtmod - HP 48gII Advanced User's Reference Manual

Alphabetical command list
The following pages contain the commands in alphabetical order. See "Computer algebra command
categories" on page 4-5 to view the commands in the order that they appear on the menus. Chapters 11 to 16
in the User's Guide provide examples using many of these commands.

ABCUV

Type: Command
Description: Returns a solution in polynomials u and v of au+bv =c where a and b are polynomials in the
current CAS independent variable, and c is a value.
Arithmetic, !Þ
Access:
Input: Level 3/Argument 1: The polynomial corresponding to a.
Level 2/Argument 2: The polynomial corresponding to b.
Level 1/Argument 3: The value corresponding to c.
Output: Level 2/Item 1: The solution corresponding to u.
Level 1/Item 2: The solution corresponding to v.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Find a solution in polynomials u and v for the following equation:
2
x + + x
Command:
ABCUV(X^2+X+1,X^2+4,13)
Result:
{-(X+3),X+4}
See also: IABCUV, EGCD

ACOS2S

Type: Command
Description: Transforms an expression by replacing acos(x) in subexpressions with /2–asin(x).
Trigonometry, ...Ñ
Access:
Input: The expression to transform.
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Simplify the following expression:
⎛ ⎞
arc cos -- - ⎝ ⎠
Command:
ACOS2S(ACOS(2/3)+ACOS(X))
Result:
/2-ASIN(2/3)+ /2-ASIN(X)
See also: ASIN2C, ASIN2T, ATAN2S

ADDTMOD

Type: Function
Description: Adds two expressions or values, modulo the current modulus.
4-12 Computer Algebra Commands
POLYNOMIAL
2
1 u + x + 4 = 13
V
2
+ arc cos x
3