Using Complex Numbers In Polar Notation - HP 33s Owner's Manual

Rpn/alg scientific calculator.

e
Evaluate
z
enter –2 as –2 + i 0.
Keys:
Ï
1
1
Ï
0
2
c )
¹ c #

Using Complex Numbers 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 33s's complex operations
work on numbers in rectangular form, convert polar form to rectangular form
º ±
(using
result back to polar form.
Example:
Add the following three loads. You will first need to convert the polar coordinates
to rectangular coordinates.
File name 33s-E-Manual-1008-Publication(1st).doc
Printed Date : 2003/10/8
2
, where z = (1 + i ). Use
Ï
z ¹



) before executing the complex operation, then convert the
a + i b = r (cos
θ
= r ∠
(Polar or phase form)
ima gin ar y
θ
Operations with Complex Numbers
Size : 13.7 x 21.2 cm
¹ c )
Display:
Intermediate result of
(1 + i )
Real part of final results.
Final result is
0.8776 – i 0.4794.
θ
θ
+ i sin
) = re
(a, b)
r
Page : 386
–2
to evaluate z
;
Description:
–2
real
9–5