Section 11: Calculating With Complex Numbers 133
Complex Results from Real Numbers
In the preceding examples, the entry of complex numbers had ensured
the (automatic) activation of Complex mode. There will be times,
however, when you will need Complex mode to perform certain
operations on real numbers, such as
−5. (Without Complex mode, such
as operation would result in an
Error 0
—improper math function.) To
activate Complex mode at any time and without disturbing the stack
contents, set flag 8 before executing the function in question.
*
Example: The arcsine (sin
−1
) of 2.404 normally would result in an
Error 0
.
Assuming 2.404 in the X-register, the complex value arcsin 2.404 can be
calculated as follows:
Keystrokes Display
| F 8
Activates Complex Mode.
| ,
1.5708
Real part of
arcsin 2.404.
´ % (hold)
-1.5239
Imaginary part of
arcsin 2.404.
(release)
1.5708
Display shows real part
again when % is released.
Polar and Rectangular Coordinate Conversions
In many applications, complex numbers are represented in polar form,
sometimes using phasor notation. However, the HP 15c assumes that any
complex numbers are in rectangular form. Therefore, any numbers in
polar or phasor form must be converted to rectangular form before
performing a function in Complex mode.
*
Pressing ´ } twice will accomplish the same thing. The sequence ´ V is
not used because it would combine any numbers in the real X- and Y-registers into a
single complex number.
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