Entering Complex Numbers - Texas Instruments TI-89 Titanium User Manual

Entering Complex Numbers

Overview of
Complex Numbers
Note: To get the i symbol,
press 2 ) , do not
simply type an alphabetic i.
Appendix B: Technical Reference
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
You can also enter complex numbers in rectangular form a+b
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
À
L1 .
imaginary number
As shown below, the form that you can enter depends on the current Angle
mode.
You can use the form:
a+bi
q
i
r e
(r q)
Use the following methods to enter a complex number.
To enter the:
Rectangular form
a+bi
Imaginary
a
r
θ
When the Angle mode setting is:
Radian or Degree
Radian only
(In Degree angle mode, this form causes a
Domain error.)
Radian or Degree
Do this:
Substitute the applicable values or variable
names for a and b.
a « b 2 )
For example:
q
i
e .
i
Expressed as
i q
a+bi, r e , or
(r q)
b
Real
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