HP 40gs Uživatelský manuál stáhnout pdf (Strana 213)

100

101

Computer Algebra System (CAS) 14-31

Example 3

Typing:

LIN(SIN(X))

gives:

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)

)

gives:

(x+1) · (x+1) · (x+1)

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

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).

---

2 ix⋅⋅()–()exp⋅

---

2 ix⋅⋅()exp⋅++

---

ix⋅exp⋅

---

ix⋅()–()exp⋅+–

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