ise 6. Show the following. For 22 0 it holds arg(22) = arg(²₁) — arg(z₂).
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Exercise 6. Show the following.
(1) For 22 ‡ 0 it holds arg(21) = arg(21) — arg(22).
def
(2) For n EN let wn= cos(
cos(²7) + i sin(²7). Show that the n’th roots of unity (namely the solutions for the
equation zn = 1) are precisely the complex numbers 1, wn, wh,..., wn-1.
(3) Let zo E C be a non-zero complex number and denote
:)/n) + i sin (Arg(z)/n)).
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