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E-9
Imaginary axis
Real axis
kAbsolute 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 rЄ
.
• Example 1: To determine the absolute value (
r) and
argument (
) of 3+4i (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
rЄ
.
• Example 2:
2 Є 45 ҃
1
ѿ i
(Angle unit: Deg)
L 2 A
Q 45 =
A r
kRectangular 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