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HP 32SII User Manual

Page 136

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9–4

Operations with Comb Numbers

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

To do an arithmetic operation with two complex numbers:

1. Enter the first complex number, z

1

(composed of x

1

+ i y

1

), by keying in y

1

š

x

1

š

. (For

2

1

z

z

, key in the base part, z

1

, first.)

2. Enter the second complex number, z

2

, by keying in y

2

š

x

2

. (For

2

1

z

z

, key in the exponent, z

2

, second.)

3. Select the arithmetic operation:

Arithmetic With Two Complex Numbers, z

1

and z

2

To Calculate:

Press:

Addition, z

1

+ z

2

z

F

™

Subtraction, z

1

– z

2

z

F

„

Multiplication, z

1

×

z

2

z

F

y

Division, z

1

÷

z

2

z

F

p

Power function,

2

1

z

z

z

F

0

Examples:

Here are some examples of trigonometry and arithmetic with complex
numbers:

Evaluate sin (2 + i 3)

Keys: Display:

Description:

3

š

2

z

F

N

)

Real part of result.

Z

.)

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

2

= 4 – i

3

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