hp40g+.book Page 31 Friday, December 9, 2005 1:03 AM

 

1

exp(–(2 ⋅ i ⋅

1

1

 

-- ⋅

x)) + --

+ -- ⋅ exp(2 ⋅ i ⋅ x)

 

4

 

2

4

 

Example 3

 

 

 

Typing:

 

 

 

 

LIN(SIN(X))

 

 

 

gives:

 

 

 

 

i

i

⋅ exp(–(i⋅ x))

 

–--

⋅ expi ⋅ x + --

 

2

2

 

 

LNCOLLECT

Regroup the logarithms

 

 

LNCOLLECT has as an argument an expression

 

containing logarithms.

 

 

LNCOLLECT regroups the terms in the logarithms. It is

 

therefore preferable to use an expression that has already

 

been factored (using FACTOR).

 

Typing:

 

 

 

 

LNCOLLECT(LN(X+1)+LN(X-1))

 

gives:

 

 

 

 

ln((x+1)(x−1))

 

 

POWEXPAND

Transform a power

 

 

POWEXPAND writes a power in the form of a product.

 

Typing:

 

 

 

 

POWEXPAND((X+1)3)

 

gives:

 

 

 

 

(x+1) · (x+1) · (x+1)

 

 

This allows you to do the development of (x + 1)3 in step

 

by step, using DISTRIB several times on the preceding

 

result.

 

 

 

SINCOS

Transform the complex exponentials into sin and cos

 

SINCOS takes as an argument an expression containing

 

complex exponentials.

 

SINCOS then rewrites this expression in terms of sin(x) and cos(x).

Computer Algebra System (CAS)

14-31