HP 48gII Uživatelský manuál stáhnout pdf (Strana 74)

Page 4-3

The result shown above represents a magnitude, 3.7, and an angle

0.33029…. The angle symbol (∠) is shown in front of the angle measure.

Return to Cartesian or rectangular coordinates by using function RECT

(available in the catalog,

‚N

). A complex number in polar

representation is written as z = r⋅e

. You can enter this complex number into

the calculator by using an ordered pair of the form (r, ∠θ). The angle symbol

(∠) can be entered as ~‚6. For example, the complex number z =

5.2e

1.5i

, can be entered as follows (the figures show the RPN stack, before and

after entering the number):

Because the coordinate system is set to rectangular (or Cartesian), the

calculator automatically converts the number entered to Cartesian coordinates,

i.e., x = r cos θ, y = r sin θ, resulting, for this case, in (0.3678…, 5.18…).

On the other hand, if the coordinate system is set to cylindrical coordinates

(use CYLIN), entering a complex number (x,y), where x and y are real

numbers, will produce a polar representation. For example, in cylindrical

coordinates, enter the number (3.,2.). The figure below shows the RPN stack,

before and after entering this number:

Simple operations with complex numbers

Complex numbers can be combined using the four fundamental operations

(

+-*/

). The results follow the rules of algebra with the caveat that

= -1. Operations with complex numbers are similar to those with real

numbers. For example, with the calculator in ALG mode and the CAS set to

Complex, try the following operations:

1 2 ... 69 70 71 72 73 74 75 76 77 78 79 ... 174 175

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HP 48gII Uživatelský manuál Strana 74