Hp 48G Instrukcja Użytkownika Pobierz pdf (Strona 38)

Lesson 10: Arithmetic with Complex Numbers

The complex-number capabilities of the 111’ 48 can affect the results of

real-number operations. Certain calculations that would result in an

error on most calculators yield valid complex results on the HP 48.

Example: Find the scpiare root of -4.

4 mm

(0,2)

SBEÓ313

The answer is a complex number—displayed as an ordered pair. The

first term is the real component and the second is the imaginary

component. This answer is 0 + 2i or just 2/ (the principal square root

of-4).

Complex numbers can l)e expressed in two forms: rectangular

(,r -b j/i) and polar ( r{cos6 4-isind) ). The HP 48 can handle both

forms, althougli they are entered as ordered pairs, (r, y) and (?•, f?),

respectively.

A complex number, like a real number, is a single object. Many

functions that work with real numbers also work with complex

numbers. You can use complex numbers as arguments for arithmetic

operations, and you can use them in sj'mbolic expressions.

Exaiiipie:

Enter the number 3 + 4i

(rectangular coordinates)

the fSPCl key to separate the two coordinates.

Use

Ifni 3 fSPCi 4 (ENTER I

1 ■

______

(3,4)

BÉQSi

Example:

Enter the number with magnitude 5.39 and phase 158.2

degrees (polar coordinates).

Step 1:

(tí

Set the angle mode to Degrees, then type in the number.

(Note that the A- character is located above the (SPC) key.)

(D(3D OK

' [¿3 158.2

1: (3,4)

(5.39^158.2)

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3-10 Arithmetic

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