HP (Hewlett-Packard) 48gII Calculator User Manual


 
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 = re
i
θ
. 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
i
2
= -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: