Complex number calculations (cmplx), Cmplx mode calculation examples – Casio FX-100MS User Manual
Page 16
E-15
Complex Number Calculations
(CMPLX)
To perform complex number calculations, first press
N2(CMPLX)
to enter the CMPLX Mode. You can use either rectangular coordinates
(
a
+
b i
) or polar coordinates (
r
∠ ) to input complex numbers. Complex
number calculation results are displayed in accordance with the
complex number format setting on the setup menu.
(2 + 6
i
) ÷ (2
i
) = 3 –
i
(Complex number format:
a
+
b i
)
( 2 + 6 W(
i
)
)/( 2 W(
i
)
)= Real
part
= 3
1=(Re ⇔ Im) Imaginary
part
= −
i
'
2
∠ 45 = 1+
i
v (Complex number format:
a
+
b i
)
1 2 1-( ∠ ) 45 = Real
part
= 1
1=(Re ⇔ Im) Imaginary
part
=
i
• You can use variables A, B, C, and M only in the CMPLX Mode.
Variables D, E, F, X, and Y are used by the calculator, which
frequently changes their values. You should not use these variables
in your expressions.
• The indicator “Re
⇔ lm” is displayed while a complex number
calculation is on the display. Press
1=(Re ⇔ lm) to toggle the
display between the real part (
a
) and imaginary part (
b
), and the
absolute value (
r
) and argument (
).
• If you are planning to perform input and display of the calculation
result in polar coordinate format, specify the angle unit before starting
the calculation.
• The
value of the calculation result is displayed in the range of
–180°
180°.
CMPLX Mode Calculation Examples
To obtain the conjugate complex number of 2 + 3
i
(Complex
number format:
a
+
b i
)
1,(Conjg) ( 2 + 3 W(
i
)
)= Real
part
= 2
1=(Re ⇔ Im) Imaginary
part
= −3
i
To obtain the absolute value and argument of 1 +
i
v
Absolute
Value:
1)(Abs) ( 1 +W(
i
)
)=
1.414213562
Argument:
1((arg) ( 1 +W(
i
)
)=
45.
Using a Command to Specify the Calculation
Result Format
Either of two special commands (
'
r
∠
or
'
a
+
b i
) can be input at
the end of a calculation to specify the display format of the calculation