Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book page 59

Note about Radian Versus Degree Mode
Radian mode is recommended for complex number calculations. Internally, the TI-84 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
because the values for cos and sin are converted to radians, while those for e^() are not. For
example, ^( 45) = cos(45) +
e i
Complex identities are always true in radian mode.
Interpreting Complex Results
Complex numbers in results, including list elements, are displayed in either rectangular or polar
form, as specified by the mode setting or by a display conversion instruction. In the example
below, polar-complex (
MathPrint™:
Classic:
Rectangular-Complex Mode
Rectangular-complex mode recognizes and displays a complex number in the form
the real component, is the imaginary component, and
b
To enter a complex number in rectangular form, enter the value of
enter the value of (
b imaginary component
real component(+ or )imaginary component i
N
Polar-Complex Mode
Polar-complex mode recognizes and displays a complex number in the form
magnitude, is the base of the natural log, q is the angle, and
e
e
sin(45) is treated internally as
i
) and Radian modes are set.
re^ q i
), and press y V (constant).
^( q) = cos(q) + sin(q) are not generally true
i i
^( 45) = cos(p/4) +
e i
is a constant equal to
i
a
is a constant equal to
i
Chapter 2: Math, Angle, and Test Operations
sin(p/4).
i
, where
a+bi
1 – .
), press à or ¹,
(
real component
, where is the
re^ q i r
1 – .
is
a
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