HP 33s - 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.