HP 33s Scientific manual ‘2 ‘  ‘4  , 2 5 ‘, 4Operations 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		Result is 9.1545 – i
{GO	.) 	4.1689.
	)

Evaluate the expression

z 1 ⎟ (z2 + z3), where z1 = 23 + i 13, z2 = –2 + i z3 = 4 – i 3

Since the stack can retain only two complex numbers at a time, perform the calculation as

		z1 ⋅ [1 ⎟ (z2 + z3)]
￿	Keys:	Display:	Description:

1 ‘2 ^‘ 

3 ^‘4 { 

G› .) ) {G ) )

Add z2 + z3; displays real part.

1 ⎟ (z2 + z3).

13 ‘23		z1 ⎟ (z2 + z3). Result is 2.5
{Gz	)	+ 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.

9–4Operations with Complex Numbers