Texas Instruments PLUS TI-89 - Manual (Page 580)

Appendix B: Reference Information 563
8992APPB DOC TI-89/TI-92 Plus:8992appb doc (English) Susan Gullord Revised: 02/23/01 1:54 PM Printed: 02/23/01 2:24 PM Page 563 of 34
A complex number has real and imaginary components that identify
a point in the complex plane. These components are measured along
the real and imaginary axes, which are similar to the x and y axes in
the real plane.
The point can be expressed in
rectangular form or in either of
two polar forms.
The i symbol represents the
imaginary number À L 1 .
r
θ
b
a
As shown below, the form that you can enter depends on the current
Angle mode.
You can use the form: When the Angle mode setting is:
a+b i Radian or Degree
r e i q Radian only
(In Degree angle mode, this form causes a
Domain error .)
(r q ) Radian or Degree
Use the following methods to enter a complex number.
To enter the: Do this:
Rectangular form
a+b i
Substitute the applicable values or variable
names for
a and b .
a « b 2 )
For example:
Entering Complex Numbers
You can enter complex numbers in the polar form (r q ), where
r is the magnitude and q is the angle, or polar form r e i q . You
can also enter complex numbers in rectangular form a+b i
Overview of
Complex Numbers
Note: To get the i symbol,
press 2 ) , do not
simply type an alphabetic i.
Imaginary
Real
Expressed as
a+b
i , r e i q , or
(r q )