Complex Number Calculations - Casio fx-9860G SD User Manual

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 2-4-7.
You can select the complex number calculation mode by changing the Complex Mode item
on the Setup screen to one of the following settings.
• {Real} ... Calculation in the real number range only*
a bi
• { + } ... Performs complex number calculation and displays results in rectangular
form
r
• { } ... Performs complex number calculation and displays results in polar form*
Press K3(CPLX) to display the complex calculation number menu, which contains the
following items.
i
• { } ... {imaginary unit i input}
• {Abs}/{Arg} ... obtains {absolute value}/{argument}
• {Conj} ... {obtains conjugate}
• {ReP}/{ImP} ... {real}/{imaginary} part extraction
r a
• { }/{
' '
* 1 When there is an imaginary number in the
argument, however, complex number
calculation is performed and the result is
displayed using rectangular form.
Examples:
ln 2i = 0.6931471806 + 1.570796327i
ln 2i + ln (- 2 ) = (Non-Real ERROR)
2
* The display range of
unit set for the Angle item on the Setup
screen.
• Deg ... –180 <
<
• Rad ... – <
• Gra ... –200 <
Complex Number Calculations
bi
+ } ... converts the result to {polar}/{rectangular} form
depends on the angle
< 180
< 200
2-6-1
1
# Solutions obtained by the Real, a+bi and r
modes are different for power root (x
when x < 0 and y = m/n when n is an odd number.
Example:
x
3 (- 8) = – 2 (Real)
= 1 + 1.732050808i (a+bi)
= 2 60 (r
# To input the " " operator into the polar coordinate
), press !v.
expression (r
20050601 20050401
2
y
) calculations
)