Interpreting complex results, Rectangular-complex mode – Texas Instruments TI-84 User Manual

Page 77

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Chapter 2: Math, Angle, and Test Operations

74

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.

Interpreting Complex Results

Interpreting Complex Results

Interpreting Complex Results

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 (

re^

q

i

) and Radian modes are set.

Rectangular-Complex Mode

Rectangular-Complex Mode

Rectangular-Complex Mode

Rectangular-Complex Mode

Rectangular-complex mode recognizes and displays a complex number in the form

a+bi

,

where

a

is the real component,

b

is the imaginary component, and

i

is a constant equal to

.

To enter a complex number in rectangular form, enter the value of

a

(

real component

), press

à or ¹, enter the value of

b

(

imaginary component

), and press

y V (constant).

real component(+ or

N

)imaginary component i

1

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