User`s guide

E-15
Complex Number Calculations
(CMPLX)
To perform complex number calculations, first press N2(CMPLX)
to enter the CMPLX Mode. You can use either rectangular coordinates
(
a + b i ) or polar coordinates ( r ∠  ) to input complex numbers. Complex
number calculation results are displayed in accordance with the
complex number format setting on the setup menu.
(2 + 6
i ) ÷ (2 i ) = 3 – i (Complex number format: a + b i )
( 2 + 6 W(
i ) )/( 2 W( i ) )= Real part = 3
1=(Re ⇔ Im) Imaginary part = − i
'2 ∠ 45 = 1+ i v (Complex number format: a + b i )
1 2 1-( ∠ ) 45 = Real part
= 1
1=(Re ⇔ Im) Imaginary part = i
• 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 1=(Re ⇔ lm) to toggle the
display between the real part (
a ) and imaginary part ( b ), and the
absolute value (
r ) and argument (  ).
• 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
 value of the calculation result is displayed in the range of
–180° 
  180°.
CMPLX Mode Calculation Examples
To obtain the conjugate complex number of 2 + 3 i (Complex
number format: a + b i )
1,(Conjg) ( 2 + 3 W(
i ) )= Real part = 2
1=(Re ⇔ Im) Imaginary part = −3 i
To obtain the absolute value and argument of 1 + i v
Absolute Value:
1)(Abs) ( 1 +W(
i ) )= 1.414213562
Argument:
1((arg) ( 1 +W( i ) )= 45.
Using a Command to Specify the Calculation
Result Format
Either of two special commands ( 'r ∠  or 'a + b i ) can be input at
the end of a calculation to specify the display format of the calculation