# Sincos; Solve - HP 48gII Advanced User's Reference Manual

Graphing calculator.

## SINCOS

Type:
Command
Description:
Converts complex logarithmic and exponential expressions to expressions with trigonometric
terms.
Trigonometry, ...ÑL, PL
Access:
Input:
An expression with complex linear and exponential terms.
Output:
The expression with logarithmic and exponential subexpressions converted to trigonometric
and inverse trigonometric expressions.
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).
Must be in complex mode (flag –103 set).
Example:
Express e
Command:
SINCOS(EXP(i*X))
Result:
COS(X)+iSIN(X)
EXPLN

### SOLVE

Type:
Command
Description:
Finds zeros of an expression equated to 0, or solves an equation.
Symbolic solve, !Î, P
Access:
Input:
Level 2/Argument 1: The expression or equation. A list of equations and expressions can be
given too, each will be solved for the same variable.
Level 1/Argument 2: The variable to solve for.
Output:
A zero or solution, or a list of zeros or solutions.
Flags:
Radians mode must be set (flag –17 set).
If exact mode is set (flag –105 clear) and there are no exact solutions, the command returns a
null list even when there are approximate solutions.
Radians mode must be set (flag –17 set).
If complex mode is set (flag –103 set) then SOLVE will search for complex roots as well as
real ones. Complex roots are displayed according to the coordinate system selected.
Example 1:
Find the zeros of the following expression:
3
x
x
9
Command:
SOLVE(X^3-X-9,X)
Result:
X=2.24004098747
Example 2:
Find the real and complex roots of the two equations:
4
x
1
=
Command: Clear numeric mode, clear approximate mode, set complex mode, set rectangular mode, enter:
SOLVE({X^4-1=3,X^2-A=0},X)
Result:
{{X= 2×i,X= 2×-1,X=-( 2×i),X= 2},
{X= A×-1,X= A}}
REALASSUME .
DESOLVE, LDEC, LINSOLVE, MSLV, QUAD, SOLVEVX
in trigonometric terms.
ix
,
2
3
x
A
=
0
Note that in this case, imaginary solutions for X are returned, even if X is in
EXPLN
, ...×L
SOLVE
Computer Algebra Commands 4-67