9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b2+azb¡) (2) -1 tan || a to show that in polar coordinates -). S1 S1$2 = (r¡r2,01+02), S2 O1 – 02 r2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 90E
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9.5. If s1 = a1 +ib¡ and s2 = a2 + ib2, and s182 = (aja2 – bịb2) +i(a¡b2+a2b1)
use the fact that r = Va? +b² and
= tan
to show that in polar coordinates
S1
$182 = (rir2, 01 +02),
S2
O1 – 02
r2
Transcribed Image Text:9.5. If s1 = a1 +ib¡ and s2 = a2 + ib2, and s182 = (aja2 – bịb2) +i(a¡b2+a2b1) use the fact that r = Va? +b² and = tan to show that in polar coordinates S1 $182 = (rir2, 01 +02), S2 O1 – 02 r2
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