20050401
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
K
3
(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 2
i
= 0.6931 1.570796327
i
ln 2
i
+ 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 + 1.732050808
i
(
a
+
bi
)
= 2
∠
60
(
r
∠
θ
)
# To input the “
∠
” operator into the polar coordinate
expression (
r
∠
θ
), press
!v
.
Summary of Contents for fx-9860G AU PLUS
Page 1: ...fx 9860G AU User s Guide E http edu casio com ...
Page 2: ...Important Please keep your manual and all information handy for future reference ...
Page 27: ...20050401 1 1 Keys 1 1 1 Keys ...
Page 335: ...20050401 u u u u u Input Example u u u u u Results 6 5 25 Tests ...
Page 361: ...20050401 Calculation Result Output Example p F distribution probability 6 7 15 Distribution ...
Page 435: ...20050401 8 8 2 Program Library egcw w ww w ...
Page 437: ...20050401 8 8 4 Program Library Example 1 Example 2 fw baw bf w fw baw ca w ...
Page 439: ...20050401 8 8 6 Program Library wba wb w w d ...
Page 441: ...20050401 8 8 8 Program Library dw fcde wfcde wfcde fcde w daw w 20070101 ...
Page 443: ...20050401 8 8 10 Program Library b awaw bwaw aw x d w ...
Page 590: ...CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0701 E ...
