Complex Number Calculations (Cmplx) - Casio fx-100AU PLUS User Manual

To determine the greatest common divisor of 28 and 35
15 15
To determine the least common multiple of 9 and 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 (
or polar coordinates (
calculation results are displayed in accordance with the complex number
format setting on the setup menu.
i
(2 + 6 ) ÷ (2
' 2 ∠ 45 = 1 +
' 2 + ' 2
i
Note: • 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
of –180°
is selected will show
CMPLX Mode Calculation Examples
= 1
i
–1
(1 – )
i
4
(1 + ) + (1 –
( 1 +W(
To obtain the conjugate complex number of 2 + 3
a
format:
12(CMPLX)2(Conjg) 2 + 3 W(
To obtain the absolute value and argument of 1 +
Absolute Value:
Argument: 12(CMPLX)1(arg)1+W(
Using a Command to Specify the Calculation Result
Format
Either of two special commands ('
of a calculation to specify the display format of the calculation results. The
command overrides the calculator's complex number format setting.
S*(GCD) 28 1)(,) 35 )=
S/(LCM) 9 1)(,) 15 )=
∠ ) to input complex numbers. Complex number
r
i i
) = 3 – (Complex number format:
( 2 + 6 W(
Bv (Complex number format:
i
= 2 ∠ 45 Bv (Complex number format:
! 2 e+! 2 eW(
value of the calculation result is displayed in the range
180°. • Display of the calculation result while Linear Display
a bi
and
1
B (Complex number format:
i
+
2 2
i
2
) = – 4 – 2
))6 4 e+( 1 -W(
i
bi
+ )
))/( 2 W(
i
! 2 e1-(∠) 45 =
r
(or and ) on separate lines.
( 1 -W(
B
i
D 1 +W(
∠ or '
r
E-18
a bi
+ )
i
))=
i
)=
a
+
i
))E=
i
))w=
i
(Complex number
i
))=
Bv
i
1.414213562
i
)=
i
))=
a bi
+ ) can be input at the end
7
45
a bi
+ )
i
3–
a bi
+ )
i
1+
∠ )
r
∠
2 45
bi
)
1 1
+ i
2 2
i
–4–2
i
2–3
45