2-16 Math, Angle, and Test Operations
8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27
PM Page 16 of 26
The TI
-
83 displays complex numbers in rectangular form
and polar form. To select a complex-number mode, press
z
, and then select either of the two modes.
•
a+b
i
(rectangular-complex mode)
•
re^
q
i
(polar-complex mode)
On the TI
-
83, complex numbers can be stored to variables.
Also, complex numbers are valid list elements.
In
Real mode, complex-number results return an error,
unless you entered a complex number as input. For
example, in
Real mode ln(
L
1) returns an error; in a+b
i
mode
ln(
L
1) returns an answer.
Real mode a+b
i
mode
$$
Complex numbers are stored in rectangular form, but you
can enter a complex number in rectangular form or polar
form, regardless of the mode setting. The components of
complex numbers can be real numbers or expressions that
evaluate to real numbers; expressions are evaluated when
the command is executed.
Radian mode is recommended for complex number
calculations. Internally, the TI
-
83 converts all entered trig
values to radians, but it does not convert values for
exponential, logarithmic, or hyperbolic functions.
In degree mode, complex identities such as
e
^(
i
q
) = cos(
q
) +
i
sin(
q
) are not generally true because
the values for cos and sin are converted to radians, while
those for e^() are not. For example,
e
^(
i
45) = cos(45) +
i
sin(45) is treated internally as
e
^(
i
45) = cos(
p
/4) +
i
sin(
p
/4). Complex identities are
always true in radian mode.
Entering and Using Complex Numbers
Complex-Number
Modes
Entering
Complex
Numbers
Note about
Radian versus
Degree Mode
