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Using complex number in polar notation, Real (a, b) imaginary – HP 32SII User Manual

Page 138

background image

9–6

Operations with Comb Numbers

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

1

š

1

š

0

š

2

_

z

F

0

)

Intermediate result of

(1 + i )

–2

z

F

*

)

Real part of final results.

Z

. )

Final result is
0.8776 – i 0.4794.

Using Complex Number in Polar Notation

Many applications use real numbers in polar form or polar notation. These
forms use pairs of numbers, as do complex numbers, so you can do arithmetic
with these numbers by using the complex operations. Since the HP 32SII's
complex operations work on numbers in rectangular form, convert polar form
to rectangular form (using

{r

before executing the complex

operation, then convert the result back to polar form.

a + i b = r (cos

θ + i sin θ) = re

i

θ

= r

θ (Polar or phasor form)

r

real

(a, b)

imaginary

θ

Example:

Vector Addition.