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Section 11: Calculating With Complex Numbers
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
result in an
Error 0
at any time and without disturbing the stack contents, set flag 8 before
executing the function in question.
Example: The arc sine (sin
Assuming 2.404 in the X-register, the complex value arc sin 2.404 can be
calculated as follows:
Keystrokes
| F 8
| ,
´ % (hold)
(release)
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.
. (Without Complex mode, such as operation would
5
– improper math function.) To activate Complex mode
*
-1
) of 2.404 normally would result in an
Display
1.5708
-1.5239
1.5708
Activates Complex Mode.
Real part of
arc sin 2.404.
Imaginary part of
arc sin 2.404.
Display shows real part
again when % is
released.
133
.
Error 0
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