Hp 50g Graphing Calculator Instrukcja Użytkownika Pobierz pdf (Strona 170)

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Notice that the last entry shows a complex number in the form x+iy. This is so

because the number was entered between single quotes, which represents an

algebraic expression. To evaluate this number use the EVAL key( μ).

Once the algebraic expression is evaluated, you recover the complex number

(3.5,1.2).

Polar representation of a complex number

The result shown above represents a Cartesian (rectangular) representation of

the complex number 3.5-1.2i. A polar representation is possible if we change

the coordinate system to cylindrical or polar, by using function CYLIN. You can

find this function in the catalog (‚N). Changing to polar shows the result!

in RPN mode:

For this result, it is in standard notation and the angular measure is set to

radians (you can always change to radians by using function RAD). 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

iθ

. 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 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…).

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