Complex Numbers

% ˆ

The calculator performs the following complex number calculations:

Addition, subtraction, multiplication, and division
Argument and absolute value calculations
Reciprocal, square, and cube calculations
Complex Conjugate number calculations

Setting the Complex Format

Set the calculator to DEC mode when computing with complex numbers.

q $ $ $ Selects the REAL menu. Use ! and " to scroll with in the REAL menu to highlight the desired complex results format a+bi, or r±q, and press <.

REAL, a+bi, or r±q set the format of complex number results.

a+bi rectangular complex results

r±q polar complex results

Notes:

Complex results are not displayed unless complex numbers are entered.
To access i on the keypad, use the multi-tap key g.
Variables x, y, z, t, a, b, c, and d are real or complex.
Complex numbers can be stored.
For conj(, real(, and imag(, the argument can be in either rectangular or polar form. The output for conj( is determined by the mode setting.
The output for real( and imag( are real numbers.
Set mode to DEGREE or RADIAN depending on the angle measure needed.

Complex Menu

Description

1:±

± (polar angle character)

Lets you paste the polar representation of a complex number (such as 5±p).

2:polar angle

Returns the polar angle of a complex number.

Syntax: angle(value)

3:magnitude

Returns the magnitude (modulus) of a complex number.

Syntax: abs(value) (or |þ| in MathPrint™ mode)

4:4r±q

Displays a complex result in polar form. Valid only at the end of an expression.

5:4a+bi

Displays a complex result in rectangular form. Valid only at the end of an expression.

6:conjugate

Returns the conjugate of a complex number.

Syntax: conj(value)

7:real

Returns the real part of a complex number.

Syntax: real(value)

8:imaginary

Returns the imaginary (nonreal) part of a complex number.

Syntax: imag(value)

Examples (set mode to RADIAN)

Polar angle character:

±

- 5 % ˆ   < g P 2 <

Polar angle:

angle(

- % ˆ   $

< 3 T 4

g g g ) <

Magnitude:

abs(

- % ˆ   3

( 3 T 4 g g g ) <

4r±q

-

3 T 4 g g g

% ˆ   4 <

4a+bi

-

5 % ˆ   <

3 g P 2 "

% ˆ   5 <

Conjugate:

conj(

-

% ˆ   6

5 U 6 g g g )

<

Real:

real(

-

% ˆ   7

5 U 6 g g g )

<