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 (θ ) of the complex number. The polar form is r￿θ.

Example 1: To determine the absolute value (r) and

argument (θ) of 3+4i (Angle unit: Deg)

(r = 5, θ = 53.13010235°)

Imaginary axis

(r  5)

 

 

 

Real axis

 

 

 

 

 

 

 

 

A AR3 + 4 iT =

 

 

(θ  53.13010235°) A aR 3 +4 iT =

The complex number can also be input using the polar form r￿θ.

Example 2: 2 ￿ 45  1  i

(Angle unit: Deg) L2 A Q45 = Ar

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

Arto toggle the display between the absolute value (r) and argument (θ ).

Example: 1  i 1.414213562 ￿ 45

(Angle unit: Deg) 1 +iAY=A r

L2 AQ45 AZ=A r

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