Asin2C; Asin2T; Assume - HP 48gII Advanced User's Reference Manual

See also: ALGB, CONSTANTS, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR,
MODULAR, POLYNOMIAL, REWRITE, TESTS, TRIGO

ASIN2C

Type: Command
Description: Transforms an expression by replacing asin(x) subexpressions with /2–acos(x)
subexpressions.
Trigonometry, ...Ñ
Access:
Input: An expression
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).
See also: ACOS2S, ASIN2T, ATAN2S

ASIN2T

Type: Command
Description: Transforms an expression by replacing asin(x) subexpressions with the following:
Trigonometry, ...Ñ
Access:
Input: An expression.
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).
See also: ASIN2C, ACOS2S, ATAN2S

ASSUME

Type: Function
Description: Adds global names to the reserved variable REALASSUME, with specific assumptions.
REALASSUME is a list of the global variables that will be considered by some CAS
operations to represent real numbers when complex mode is set. ASSUME adds further
assumptions, for example that a variable is greater than or equal to zero. Assumptions must
be of the form v≤expression, or v≥expression, where v is the variable name. Several
assumptions can be combined.
These assumptions are used by the solve commands; for example if a variable is assumed to
be greater than zero then the solvers will not look for solutions where that variable is negative.
Some of the solvers will give complex solutions for variables even if they are in
REALASSUME.
Catalog, ...µ
Access:
Input: Level 1/Item 1: An expression giving the name of the global variable to be added to the
REALASSUME list, and the assumption to be placed on it, or a list of such assumptions.
Output: Level 1/Item 1: The input expression or list of expressions.
4-14 Computer Algebra Commands
⎛ ⎞
x
⎜ ⎟
atan ----------------- -
⎝ ⎠
2
1 x –