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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*
1
• {a+bi} ... Performs complex number calculation and displays results in rectangular
form
• {r∠
θ
} ... Performs complex number calculation and displays results in polar form*
2
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∠
θ
}/{'a+bi} ... converts the result to {polar}/{rectangular} form
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 form.
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 Setup
screen.
• Deg ... –180 <
θ
< 180
• Rad ... – π <
θ
< π
• Gra ... –200 <
θ
< 200
# Solutions obtained by the Real, a+bi
and r∠
θ
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)
= 2∠60 (r∠
θ
)
# To input the “
∠ ” operator into the polar coordinate
expression (r∠
θ
), press !v.