Write answer in both rectangular from and polar Q in degre

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r-soy
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Hi

I want check my answer

4 - write answer in both rectangular from and polar Q in degre

a ) (1 + i ) ( 2+ 2i )
b ) -2 + 2i
 
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  • Handwritten working on lined paper: part A expands (1+i)(2+2i) to 2+2i+2i+2i^2, giving 2+8i, with x = 2, y = 8, r = 8.24, tan θ = 4, θ = 75.9°, polar form 8.24e^(i·75.9°). Part B works -2+2i with r = 2.8 and θ = 3π/4, polar form 2.8e^(3πi/4).
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In part (a), you seem to have assumed that (2i)2=4i, which is wrong...(2i)2=-4.

In part (b) you have written: tan-1(2/2), where it should be: tan-1(2/-2). Also I don't understand why you have written: 45-[tex]\pi[/tex]/4.
 
r-soy said:
Hi

I want check my answer

4 - write answer in both rectangular from and polar Q in degre

a ) (1 + i ) ( 2+ 2i )
b ) -2 + 2i

Which level are you at? College? I will like to know that before I help you