Texas Instruments Titanium TI-89, User Manual

Page: 913 / 977

Appendix B: Technical Reference 910
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
o 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:
Imaginary
Real
Entering Complex Numbers
You can enter complex numbers in the polar form (r
o 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.
Expressed as
a+b
i , r
e
i
q
, or
(r
o q
)