F 2 2, A r 3 – Casio fx-570MS User Manual
Page 30
– 27 –
Examine the relationship between –5 + 3
i
and 4 +
i
, which
are two points on the complex plane.
You can examine the relationship between
two points on the complex plane (
z
1
and
z
2
)
by determining the absolute value (
r
) and the argument
(
θ) of
z
1
/
z
2
.
1
.
Select the CMPLX Mode.
F 2
2
.
Perform the calculation (–5 + 3
i
)
÷ (4 +
i
).
R
D
5
+
3
i
T
\
R
4
+
i
T
=
A r
3
.
Convert to polar form and display the result.
A
Y
=
A
r
The above indicates that –5 + 3
i
represents a 135
° rotation of 4 +
i
around the origin, and that it is a
point with a ratio of 1.414213562 (= 2 ) with the origin as the center.
Example 2
Example 2
Explanation
Explanation
Operation
Problems Involving Complex Numbers, with an Emphasis on Polar Form
imaginary
r
×
l
4 +
i
–5 + 3
i
l
θ