Tcollect; Tests; Texpand; Tlin - HP 48gII Advanced User's Reference Manual

Graphing calculator.

TCOLLECT

Type:
Command
Description:
Linearizes products in a trigonometric expression by collecting sine and cosine terms, and by
combining sine and cosine terms of the same argument.
Trigonometry, ...ÑL
Access:
Input:
An expression with trigonometric terms.
Output:
The simplified 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:
Collect terms in the expression:
sin x
2
+
Command:
TCOLLECT(SIN(2*X)+COS(2*X))
Result:
2*COS(2*X- /4)
TEXPAND, TLIN

TESTS

Type:
Command
Description:
Displays a menu or list containing the ASSUME and UNASSUME commands, and tests that
can be included in algebraic expressions.
Catalog, ...µ
Access:
Flags:
If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered
list. If the flag is set, displays the operations as a menu of function keys.
ALGB, ARIT, CONSTANTS, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR,
MODULAR, POLYNOMIAL, REWRITE, TRIGO

TEXPAND

Type:
Command
Description:
Expands transcendental functions.
!Ð, P
Access:
Input:
An expression.
Output:
The transformation of the 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:
Expand the following expression:
ln(sin(x+y))
Command:
TEXPAND(LN(SIN(X+Y)))
Result:
LN(COS(Y)*SIN(X)+SIN(Y)* COS(X))
TCOLLECT, TLIN

TLIN

Type:
Command
4-74 Computer Algebra Commands
cos x
2
P
...×L, ...ÑL, PL
,
,
ALG
TRIG
EXPLN