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Conjugate complex number (conjg), Absolute value and argument (abs, arg), E-57 – Casio fx-5800P User Manual

Page 58

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E-57

Example 1: 2 × (

'

3 +

i

) = 2

'

3 + 2

i

= 4

∠ 30

Bv

2*(!3e+i)E

b

2*(!3)+i)E

When using linear display format, calculation results are displayed

in two lines showing the absolute value and argument.

Example 2: 1 +

i

=

'

2

∠ 45

Bv

1+iE

k

Conjugate Complex Number (Conjg)

You can perform the operation below to obtain conjugate complex number

=

a

b

i for the

complex number

z

=

a

+

b

i.

Example: Obtain the conjugate complex number of 2 + 3

i

B

z – {COMPLX} 3(Conjg)2+3i)E

k

Absolute Value and Argument (Abs, Arg)

You can use the procedure shown below to obtain the absolute value (|

z

|) and argument

(Arg(

z

)) on the Gaussian plane for a complex number in the format

z

=

a

+

b

i.

Example: To obtain the absolute value and

argument of 2 + 2

i

b

v

Absolute Value:

z – {COMPLX} 1(Abs)2+2i)E

b =

2

a =

2

o

Imaginary axis

Real axis

b =

2

a =

2

o

Imaginary axis

Real axis