HP 33s User Manual
Page 134
9–4
Operations with Complex Numbers
Examples:
Here are some examples of trigonometry and arithmetic with complex numbers:
Evaluate sin (2 + i 3)
Keys:
Display:
Description:
3
2
{ G O
.)
)
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
Ч [1 ч (z
2
+ z
3
)]
Keys:
Display:
Description:
1
2
^
3
^
4
{
G
.)
)
Add z
2
+ z
3
; displays real
part.
{ G
)
)
1
÷ (z
2
+ z
3
).
13
23
{ G z
)
)
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:
2
5
^
.
)
.
)
Enters imaginary part of
first complex number as a
fraction.
4
)
)
Enters real part of first
complex number.