Complex Number Calculations - Casio fx-570AR X User Manual

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Complex Number Calculations

To perform complex number calculations, first enter the Complex Mode. You
can use either rectangular coordinates (a+bi) or polar coordinates (r∠θ) to
input complex numbers. Complex number calculation results are displayed
in accordance with the Complex setting on the setup menu.
(1 + i) + (1 − i)
4
1(i)41(i)
2∠45 = 2 + 2�� (Angle Unit: Degree, Complex: a+bi)
2 + 2�� = 2∠45 (Angle Unit: Degree, Complex: r∠θ)
* When raising a complex number to an integer power using the syntax (a
n
+bi) , the power value can be within the following range: -1 × 10
10
× 10 .
Note
• If you are planning to perform input and display of the calculation result
in polar coordinate format, specify the angle unit before starting the
calculation.
• The θ value of the calculation result is displayed in the range of -180°< θ
≦ 180°.
• Display of the calculation result while LineI/LineO or LineI/DecimalO is
selected will show a and bi (or r and θ) on separate lines.
Complex Mode Calculation Examples
To obtain the conjugate complex number (Conjg) of 2 + 3i (Complex: a+bi)
To obtain the absolute value (Abs) and argument (Arg) of 1 + i (Angle Unit:
Degree)
To extract the real part (ReP) and imaginary part (ImP) of 2 + 3i
Using a Command to Specify the Calculation Output
Format
2 + 2�� = 2∠45, 2∠45 = 2 + 2�� (Angle Unit: Degree)
22(i)(r∠θ)
= -4 − 2i (Complex: a+bi)*
2
(Conjugate) 23(i)
(Argument) 1(i)
(Real Part) 23(i)
(Imaginary Part) 23(i)
2(∠) 45(a+bi)
2(∠) 45
22(i)
(Abs) 1(i)
18
-4 − 2i
2 + 2��
2∠45
< n < 1
10
2−3i
2
45
2
3
2∠45
2 + 2��