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Using Calculation Modes
Complex Number Calculations
(CMPLX)
Use the
key to enter the CMPLX Mode when you want to perform
basic calculations that include complex numbers.
(CMPLX)
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 number format setting on the setup menu.
Example: (2 + 6
i ) ÷ (2 i ) = 3 - i (Complex number format: a +bi)
2 6 ( i ) 2 ( i )
Real part = 3
(Re⇔Im) Imaginary part = -i
Example: √2∠45 = 1 + i (Angle unit: Deg, Complex number format: a +
bi)
2 (∠) 45 Real part = 1
(Re⇔Im)
Imaginary part = i
Note
• You can use variables A, B, C, and M only in the CMPLX Mode. Variables D, E, F, X,
and Y are used by the calculator, which frequently changes their values. You should
not use these variables in your expressions.
• The indicator "Re⇔lm" is displayed while a complex number calculation is on the
display. Press (Re⇔lm) to toggle the display between the real part ( a ) and
imaginary part (
b ), and the absolute value ( r ) and argument ( θ ).
•
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°.
CMPLX Mode Calculation Examples
Example 1: To obtain the conjugate complex number of 2 + 3
i
(Complex
number format:
a +bi)
42
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