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K absolute value and argument calculation, K rectangular form ↔ polar form display – Casio fx-3650P User Manual

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E-18

kAbsolute Value and Argument Calculation

Supposing the imaginary number expressed by the rectangular form

z

=

a

+

bi

is represented as a point in the Gaussian plane, you can

determine the absolute value (

r

) and argument (

) of the complex

number. The polar form is

r

Є

.

Example 1: To determine the absolute value (

r

) and argument (

) of

3 + 4

i

(Angle unit: Deg)

(

r

=

5

,

=

53.13010235

°)

(

r

҃

5

)

A

A

R

3

+

4

i

T

<

(

҃

53.13010235

°)

A

a

R

3

+

4

i

T

<

• The complex number can also be input using the polar form

r

Є

.

Example 2:

2

Є 45 ҃

1

ѿ

i

(Angle unit: Deg)

L

2

A

Q

45

<

A

r

kRectangular Form Polar Form Display

You can use the operation described below to convert a rectangular form
complex number to its polar form, and a polar form complex number to its
rectangular form. Press

A

r

to toggle the display between the absolute

value (

r

) and argument (

).

Example: 1

ѿ

i

1.414213562

Є 45

(Angle unit: Deg)

1

+

i

A

Y

<

A

r

L

2

A

Q

45

A

Z

<

A

r

Imaginary axis

Real axis

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