HP 33S, User Manual

Page: 134 / 388

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.