Complex Numbers And Polar Coordinates - Casio fx-3650P Programming Manual

23

Complex numbers and polar coordinates

As an example, for the complex number
ω
we may write in polar coordinates, by letting
ω θ
(
r
cos + i
=
2
r = a +
where
The product of two complex numbers in polar form is
θ θ
( ) r'
r cos + i sin
？→ Ａ：？→ Ｂ：√ （Ａ
INPUT A : real part
OUTPUT X : the distance from the origin Y : the angle
ω
= 2 + 2i
, when written in polar coordinates is
MODE MODE
MODE 2 Prog
EXE
2 2
EXE
To obtain the answer in degrees, press
executing the program.
θ
)
sin
a
2
θ θ
b , cos = -- - , sin
r
θ θ
× (
cos + i sin
２ ２
＋ Ｂ ） → Ｘ：ｃｏｓ
a
B : imaginary part
MODE
1
EXE
ω
= a + bi
,
b
= -- -
.
r
θ θ'
' ) ( (
= rr' cos +
－１
（Ａ ÷ Ｘ） → Ｙ：Ｘ
b
ω
= 2 2
S A
S A
S A
MODE MODE
r
θ θ'
) ( ) )
+ i sin +
.
Ｙ ＜ 31 STEP ＞
θ
from the real line
π π
 
cos -- - + i sin -- -
.
 
4 4
P1 P1 P2 P3 P4 D R
P1 P1 P1 P1 P2 P3 P4 D R
P1 P1 P2 P3 P4 D R
MODE MODE
a + bi
G
G
Disp
G
before
1
33