chrissanchez2021 chrissanchez2021

22-02-2022
Mathematics

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Which expression is a fourth root of -1 + i sqrt{3} please help

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Jj4ck1234 Jj4ck1234

22-02-2022

Answer:

r e^iT = r cos T + i r sin T

r cos T = -1

r sin T = sqrt 3

30, 60 90 triangle in second quadrant r = 2, T = 180-60 = 120

so

2e^120i

foruth root is 2^.25 e^(120/4)i

2^.25 e^30 i

2^.25 ( cos 30 + i sin 30)

Step-by-step explanation:

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