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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,

). A complex number in polar

5.2e1.5i, can be entered~‚6as‚Nfollows (the figures show the RPN stack, before and after entering the number):

representation is written as z = reiθ . 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. For example, the complex number z =

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 i2+= -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:

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Image 74
HP 49g manual Simple operations with complex numbers