6 complex number calculations – Casio ALGEBRA FX 2.0 Manual Calculations User Manual
Page 41
19990401
2-6 Complex Number Calculations
You can perform addition, subtraction, multiplication, division, parentheses calculations,
function calculations, and memory calculations with complex numbers just as you do with the
manual calculations described on pages 2-1-1 and 2-4-6.
You can select the complex number calculation mode by changing the Complex
Mode item on the SET UP screen to one of the following settings.
• {Real} ... Calculation in the real number range only*
1
• {
a
+
bi
} ... Performs complex number calculation and displays results in rectangular
coordinate format
• {
re
^θ
i
} ... Performs complex number calculation and displays results in polar coordinate
format*
2
Press K3(CPLX) to display the complex calculation number menu, which contains the
following items.
• {Abs}/{Arg} ... obtains {absolute value}/{argument}
• {Conjg} ... {obtains conjugate}
• {ReP}/{ImP} ... {real number}/{imaginary number} part extraction
• {
'
re
^θ
i
}/{
'
a
+
bi
} ... converts the result to {polar}/{linear}
2-6-1
Complex Number Calculations
*
1
When there is an imaginary number in the
argument, however, complex number
calculation is performed and the result is
displayed using rectangular coordinate
format.
Examples:
ln 2i
= 0.6931471806 + 1.570796327i
ln 2i + ln (- 2 ) = (Non-Real ERROR)
*
2
The display range of
θ
depends on the angle
unit set for the Angle item on the SET UP
screen.
• Deg ... –180 <
θ
< 180
• Rad ... – π <
θ
< π
• Gra ... –200 <
θ
< 200
# Solutions obtained by the Real and a+bi
/
re^
θ
i
modes are different for power root (x
y
)
calculations when x < 0 and y = m/n when n is
an odd number.
Example:
3
x
(- 8) = – 2 (Real)
= 1 + 1.732050808i(a+bi
/
re^
θ
i
)