Entering complex numbers, Note about radian versus degree mode – Texas Instruments TI-83 PLUS User Manual

Page 88

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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.

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