HP (Hewlett-Packard) HP 33s Calculator User Manual


 
9–4 Operations with Complex Numbers
File name 33s-English-Manual-040130-Publication(Edition 2).doc Page : 388
Printed Date : 2004/1/30 Size : 13.7 x 21.2 cm
Examples:
Here are some examples of trigonometry and arithmetic with complex numbers:
Evaluate sin (2 +
i 3)
Keys: Display: Description:
3
Ï
2
¹
c
k


Result is 9.1545 – i
4.1689.
Evaluate the expression
z
1
÷
(z
2
+ z
3
),
where z
1
= 23 + i 13, z
2
= –2 + i z
3
= 4 – i 3
Since the stack can retain only two complex numbers at a time, perform the
calculation as
z
1
×
[1
÷
(z
2
+ z
3
)]
Keys: Display: Description:
1
Ï
2
z
Ï
3
z
Ï
4
¹
c
Ù


Add z
2
+ z
3
; displays real
part.
¹
c
,


1
÷
(z
2
+ z
3
).
13
Ï
23
¹
c
¸


z
1
÷
(z
2
+ z
3
). Result is 2.5
+
i 9.
Evaluate (4 –
i 2/5) (3 – i 2/3). Do not use complex operations when calculating
just one part of a complex number.
Keys: Display: Description:
Ë
2
Ë
5
z
Ï


Enters imaginary part of
first complex number as a
fraction.
4
Ï


Enters real part of first
complex number.