9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r = Va? +b² and b. -1 = tan a to show that in polar coordinates $1 $2 = (rir2, O1 + 02), S2 O1 – 02 ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 62E
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9.5. If s1 = aj+ib¡ and s2 = a2 + ib2, and s1$2 =
use the fact that r= Va² + b² and
(a,a2 – bib2) +i(a,b2+azb1)
-1
= tan
a
to show that in polar coordinates
s1 $2 = (rı72, 0) + 02), 1-(4,e) – 02).
01 – 02
S2
Transcribed Image Text:9.5. If s1 = aj+ib¡ and s2 = a2 + ib2, and s1$2 = use the fact that r= Va² + b² and (a,a2 – bib2) +i(a,b2+azb1) -1 = tan a to show that in polar coordinates s1 $2 = (rı72, 0) + 02), 1-(4,e) – 02). 01 – 02 S2
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