QUESTIÓN 10 (a) Given w = V3 – i, %3D (i) express w in polar form. (ii) find all the roots of 2 = v3– i in polar form. Show all the roots on an Argand diagram.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QUESTION 10
(a) Given w = V3 - i,
(i) express w in polar form.
(ii) find all the roots of 25 = V3 - i in polar form. Show all the roots
on an Argand diagram.
%3!
(b) Use de Moivre's theorem to show that
cos 50 = 16 cos5 0 – 20 cos 0 + 5 cos 0.
Hence, solve 32.r5 – 40x3 + 10r
V3.
Transcribed Image Text:QUESTION 10 (a) Given w = V3 - i, (i) express w in polar form. (ii) find all the roots of 25 = V3 - i in polar form. Show all the roots on an Argand diagram. %3! (b) Use de Moivre's theorem to show that cos 50 = 16 cos5 0 – 20 cos 0 + 5 cos 0. Hence, solve 32.r5 – 40x3 + 10r V3.
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