Casio CFX-9850G PLUS Manual de usuario

Complex Numbers

This calculator is capable of performing the following operations

using complex numbers.

•Arithmetic operations (addition, subtraction, multiplication,

division)

•Calculation of the reciprocal, square root, and square of a

complex number

•Calculation of the absolute value and argument of a complex

number

•Calculation of conjugate complex numbers

•Extraction of the real part

•Extraction of the imaginary part

4-1 Before Beginning a Complex Number Calculation

4-2 Performing Complex Number Calculations

Chapter

4-1 Before Beginning a Complex Number

Calculation

Before beginning a complex number calculation, press K3(CPLX) to display

the complex number calculation menu.

•{i} ... {imaginary unit iinput}

•{Abs}/{Arg} ... obtains {absolute value}/{argument}

•{Conj} ... {obtains conjugate}

•{ReP}/{ImP} ... {real}/{imaginary} part extraction

4-2 Performing Complex Number Calculations

The following examples show how to perform each of the complex number

calculations available with this calculator.

kArithmetic Operations [OPTN]-[CPLX]-[i]

Arithmetic operations are the same as those you use for manual calculations. You

can even use parentheses and memory.

Example 1 (1 + 2i) + (2 + 3i)

AK3(CPLX)

(b+c1(i))

+(c+d1(i))w

Example 2 (2 + i) ×(2 – i)

AK3(CPLX)

(c+1(i))

*(c-1(i))w

kReciprocals, Square Roots, and Squares

Example (3 + i)

AK3(CPLX)

!9(d+1(i))w

kAbsolute Value and Argument [OPTN]-[CPLX]-[Abs]/[Arg]

The unit regards a complex number in the form a+ bi as a coordinate on a

Gaussian plane, and calculates absolute value Zand argument (arg).

Example To calculate absolute value (r) and argument (

) for the

complex number 3 + 4i, with the angle unit set for degrees

Imaginary axis

Real axis

AK3(CPLX)2(Abs)

(d+e1(i))w

(Calculation of absolute value)

AK3(CPLX)3(Arg)

(d+e1(i))w

(Calculation of argument)

•The result of the argument calculation differs in accordance with the current

angle unit setting (degrees, radians, grads).

kConjugate Complex Numbers [OPTN]-[CPLX]-[Conj]

A complex number of the form a+ bi becomes a conjugate complex number of the

form a– bi.

Example To calculate the conjugate complex number for the complex

number 2 + 4i

AK3(CPLX)4(Conj)

(c+e1(i))w

kExtraction of Real and Imaginary Parts

[OPTN]-[CPLX]-[ReP]/[lmP]

Use the following procedure to extract the real part aand the imaginary part b

from a complex number of the form a+ bi.

Example To extract the real and imaginary parts of the complex number

2 + 5i

AK3(CPLX)5(ReP)

(c+f1(i))w

(Real part extraction)

AK3(CPLX)6(ImP)

(c+f1(i))w

(Imaginary part extraction)

4 - 2 Performing Complex Number Calculations

Performing Complex Number Calculations 4 - 2

kComplex Number Calculation Precautions

•The input/output range of complex numbers is normally 10 digits for the

mantissa and two digits for the exponent.

•When a complex number has more than 21 digits, the real part and imaginary

part are displayed on separate lines.

•When either the real part or imaginary part equals zero, that part is not

displayed.

•20 bytes of memory are used whenever you assign a complex number to a

variable.

•The following functions can be used with complex numbers.

, x2, x–1

← ←

Int, Frac, Rnd, Intg, Fix, Sci, ENG, ENG, °’ ”, °’ ”, ab/c, d/c, F⇔D

P. 2 2

Otros manuales para CFX-9850G PLUS

Este manual sirve para los siguientes modelos

Tabla de contenidos

Otros manuales de Calculadora de Casio

Casio

Casio CLASSPAD 330 3.04 Manual de usuario

Casio

Casio CFX-9800G Guía de solución de problemas

Casio

Casio FX 300 Guía de configuración

Casio

Casio fx-120 Manual de usuario

Casio

Casio NS-20T Manual de usuario

Casio

Casio FX-9750GII-IH Manual de usuario

Casio

Casio DC-810 Manual de usuario

Casio

Casio fx-250 HA Manual de usuario

Casio

Casio fx-115ES PLUS Manual de usuario

Casio

Casio FX-9750G Manual de usuario

Casio

Casio VL-80 Manual de usuario

Casio

Casio FX-82ES PLUS Manual de usuario

Casio

Casio fx-7400G PLUS Manual de usuario

Casio

Casio FX-100B Manual de usuario

Casio

Casio CFX-9970G Manual de uso y cuidado

Casio

Casio CFX-9970G Manual de instrucciones y seguridad

Casio

Casio CFX-9800G Manual de usuario

Casio

Casio DF-120FM Manual de usuario

Casio

Casio DR-320ER Manual de usuario

Casio

Casio DJ-120D plus Manual de usuario

Casio

Casio CFX-9970G Manual de usuario

Casio

Casio FX-61F SCIENTIFIC CALCULATOR Manual de usuario

Casio

Casio HR-100TM Guía de solución de problemas

Casio

Casio fx-82ZA PLUS Manual de usuario

Manuales populares de Calculadora de otras marcas

HP 35s Manual

LEXIBOOK

LEXIBOOK EL350 Manual de usuario

HP HP-97 Manual de usuario

Citizen

Citizen SDC-414N Manual de usuario

Canon

Canon P26-DHIII Manual de usuario

Citizen

Citizen 520DPA Manual de usuario

Sharp

Sharp EL-9900 Manual de usuario

Sharp

Sharp WriteView EL-W506 Manual técnico

HP HP-67 Guía del usuario

Royal

Royal CBC2000 Manual de usuario

Heathkit

Heathkit IC-2009 Manual de usuario

Universal

Universal UNV-15907 Manual de usuario

Sharp

Sharp EL-9650 Manual de usuario

Sharp

Sharp EL2192RII - Printing Calculator Manual de usuario

Ativa

Ativa AT-30i Manual de usuario

HP StreamSmart 400 Manual de usuario

HP 20b Business Consultant Manual de usuario

HP 9g Manual de usuario