K absolute value and argument calculation, K rectangular form ↔ polar form display – Casio fx115ms User Manual
Page 10
E-8
Imaginary axis
Real axis
k Absolute Value and Argument
Calculation
Supposing the imaginary number expressed by the
rectangular form
z
=
a
+
bi
is represented as a point in the
Gaussian plane, you can determine the absolute value (
r
)
and argument (
) of the complex number. The polar form
is
r
Є
.
• Example 1: To determine the absolute value (
r
) and
argument (
) of 3+4
i
(Angle unit: Deg)
(
r
=
5,
=
53.13010235
°)
(
r
҃ 5)
A
A
R
3
+
4
i
T
=
(
҃ 53.13010235°)
A
a
R
3
+
4
i
T
=
• The complex number can also be input using the polar
form
r
Є
.
• Example 2:
2
Є 45 ҃ 1 ѿ
i
(Angle unit: Deg)
L
2
A
Q
45
=
A
r
k Rectangular Form
↔ Polar Form
Display
You can use the operation described below to convert a
rectangular form complex number to its polar form, and a
polar form complex number to its rectangular form. Press
A r
to toggle the display between the absolute value
(
r
) and argument (
).
• Example: 1
ѿ
i
↔ 1.414213562 Є 45
(Angle unit: Deg)
1
+
i
A
Y
=
A
r
L
2
A
Q
45
A
Z
=
A
r