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TI-83 Plus Math, Angle, and Test Operations 85
Real
mode
a+b
i
mode
$$
Entering Complex Numbers
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.
Note about Radian Versus Degree Mode
Radian mode is recommended for complex number calculations.
Internally, the TI-83 Plus converts all entered trigonometric 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.