HP 10413 Datasheet Page 264

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264
ARG(complex or vector)
This function, also found on the keyboard,
returns the size of the angle defined by
regarding the complex number as a vector.
For example ARG(4+2i) would be 26 565
"
.
The same information can, of course, be
obtained using trig.
The reason for the double brackets is that
every function used by the calculator uses
brackets (hence the outer pair) but so too do
complex numbers (hence the inner pair).
Using ARG(a+bi) instead avoids this.
CONJ(complex)
This function returns the complex conjugate.
Eg. If 23zi=+ , then find the complex
conjugate z .
Answer (see right):
23zi=−
See also: IM,ARG,RE
IM(complex) &
RE(complex)
These functions return the imaginary and real
parts of the complex number supplied.
See also: CONJ,ARG,RE
Note: As mentioned earlier, a very useful
function ( ) can be found on the
keyboard as the SHIFT function for
‘subtract’. If you enter a complex number
in (r, ) form as shown right, then the
calculator will display it in the form
cos( ) sin( )rr
θ
θ
+ from, and as an (a,b)
ordered pair. Note the cos( ) sin( )rr
θ
θ
+
form is used only when in radian mode.
2 4 6-2
2
4
6
-2
27°
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