Cd cie) 2 – HP 48g Graphing Calculator User Manual
Page 269
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Example:
An extension of the half-angle formula for sine is
sin(2z) = 2 sin(
2
) cos(z)
Create a transformation based on this formula and use it
to transform the expression ' SIN < 2* < K+1) ) ‘.
Step 1:
Open the MATCH EXPRESSION form and enter the target
expression into the EXPR: field.
@fSYMBOLIC)
(A]
0K
MHTC 0(M)2®S)0
(T) 1
(ENTER 1
EKPAESSiaN
EXPR:
' S I N ( 2 * ( X + n >
PATTERN:
REPLACEHENT:
_SURERPR FIRST CDND:
ENTER PATTERN TO SEARCH FOR
Step 2:
Enter the pattern and replacement expressions, using a
wildcard for ^ in the formulais.
CD CIE) 2 ®
@Z iENTE~R) CD 2 ® fsilp
©
q
HHHE)
®
z
®
®
CsMD ® (3 dUliD © z
(ENTER).
MATCH EXPRESSIONS^*
EXPR:
'SINC2*iX+l>)
'
PATTERN:
'SIN<2*&Z>'
REPLACEMENT: ' 2*S IN <
gSUREXPR FIRST CDND:
SEARCH SUBEXPRESSIONS FIRST-?_____
■HIliiBMHKIMiiaHMIiliRllHlISBi
20
Step 3:
Leave .SUBEXPR FIRST unchecked and do not include a
conditional test. Execute the search-and-replace.
MANIPULATE EXPRESSION
EXPR:
ENTER EXPRESSION __________________
HOTaHnrnHBiiBBiSimaMiigiijpiia
Calculus and Symbolic Manipulation 20-29