1+1 i, 2+3 i, Conjugate complex number (conjg) – Casio fx-50F PLUS User Manual

Page 37: Absolute value and argument (abs, arg)

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background image

E-36

A Polar Coordinate Format ( r

Ƨ)

1,(SETUP)eee2(

r

Ƨ

)

Example 1: 2 × (

'

3 +

i

) = 2

'

3 + 2

i

= 4

30

2*(93)+W(

i

)

)E

1E(Re⇔ Im)

symbol turns on during display of

Ƨ

-value.

Example 2: 1 + 1

i

= 1.414213562

45 (Angle Unit: Deg)

1+1W(

i

)

E

1E(Re⇔ Im)

k

Conjugate Complex Number (Conjg)

You can perform the operation below to obtain conjugate complex number

¯ z

=

a

+

b

i

for the

complex number

z

=

a

+

b

i

.

Example: Obtain the conjugate complex number of 2 + 3

i

1,(Conjg)2+3W(

i

)

)E

1E(Re⇔ Im)

k

Absolute Value and Argument (Abs, arg)

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

z

|) and argument (arg)

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

(Angle Unit: Deg)

(

'

(

3

) +

i

)

4

(

'

(

3

) +

i

)

4

(

'

(

3

) +

i

)

30

(

'

(

3

) +

i

)

30

1+1 i

1414213562

1+1 i

1414213562

1+1 i

45

1+1 i

45

Con

jg(

2+3 i

)

2

Con

jg(

2+3 i

)

2

Con

jg(

2+3 i

)

-3

Con

jg(

2+3 i

)

-3

b =

2

a =

2

o

Imaginary axis

Real axis

b =

2

a =

2

o

Imaginary axis

Real axis

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