Casio FX-100D Bedienungsanleitung PDF herunterladen (Seite 16)

FX 115 MS Training guide

Complex Numbers

Use the [MODE] key to enter the Complex (CMPLX) mode when you want to perform

calculations with complex numbers. [MODE] [2]

Complex Number Calculations

• The key for i is located above the [ENG] key. In complex mode, you do not have to

press [SHIFT].

• You can use the Replay function in the Complex mode.

• The indicator “R-I” will appear on the display in the upper right corner for complex

number results. Press [SHIFT] [[Re-Im] to toggle the display between the real part

and the imaginary part.

• You can use variables A, B, C, and M only in Complex mode.

• The current angle setting (Deg, Rad, Grad) affects the calculations.

• You can store an expression in CALC memory while in the Complex mode.

Absolute Value and Argument Calculation

If an imaginary number is expressed by the rectangular form z = a + bi and 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: To determine the absolute value (r) and argument (θ) of 3 + 4i

(angle is set to Degrees)

[SHIFT] [Abs] [(] [3] [+] [4] [i] [)] [=] The result is 5 (r = 5).

[SHIFT] [arg] [(] [3] [+] [4] [i] [)] [=] The result is 53.13 (θ = 53.13°)

Example: Input the complex number using the polar form r∠θ (

2 ∠45)

[

] [2] [SHIFT] [∠] [45] [=] The result is 1 + i

Press [SHIFT] [Re-Im] to toggle between the real part and the imaginary

part.

Rectangular Form-Polar Form Display

You can convert a rectangular form complex number to its polar form, and a polar form

complex number to its rectangular form. Press [SHIFT] [Re-Im] to toggle between the

real part and the imaginary part.

Example: [1] [+] [

] [SHIFT] [r∠θ] [=] The result is 1.1414, ∠ 45.

[

] [2] [SHIFT] [∠] [45] [SHIFT] [a+b

] [=] The result is 1 +

Conjugate of a Complex Number

For any complex number z where z = a + bi, its conjugate is a - bi.

Example: The conjugate of 1 + 2i: [SHIFT] [Conjg] [(] [1] [+] [2] [i ] [)] [=]

The result is 1 - 2i:

References the Casio FX-115 MS User’s Guide Casio FX-115MS Scientific calculator

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