HP 40gs Manual do Utilizador descarregar pdf (Página 224)

100

101

14-42 Computer Algebra System (CAS)

TCOLLECT linearizes this expression in terms of sin(n x)

and cos(n x), then (in Real mode) reconstructs the sine and

cosine of the same angle.

Typing:

TCOLLECT(SIN(X) + COS(X))

gives:

TEXPAND Develop transcendental expressions

TEXPAND has as an argument a transcendental

expression (that is, an expression with trigonometric,

exponential or logarithmic functions). TEXPAND develops

this expression in terms of sin(x), cos(x), exp(x) or ln(x).

Example 1

Typing:

TEXPAND(EXP(X+Y))

gives:

exp(x)·exp(y)

Example 2

Typing:

TEXPAND(LN(X·Y))

gives:

ln(y) + ln(x)

Example 3

Typing:

TEXPAND(COS(X+Y))

gives:

cos(y)·cos(x)–sin(y)·sin(x)

Example 4

Typing:

TEXPAND(COS(3·X))

2 x

---

–

⎝⎠

⎛⎞

cos⋅

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