HP 49g+ - Manual (Page 161)

Page 4-3
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:
For this result 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 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 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: