2. (a) Find the modulus and principal argument of the following complex numbers: (i) -2(√3+i), πT (ii) cos +isin π 7
2. (a) Find the modulus and principal argument of the following complex numbers: (i) -2(√3+i), πT (ii) cos +isin π 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. (a) Find the modulus and principal argument of the following complex numbers:
(i) -2(√3+i),
(iii)
- 2(√3+ i)(
ㅠ
COS + i sin 7),
(ii) COS
(iv)
ㅠ
π
7'
2(√3+ i)
ㅠ
COS + i sin
7
7
+ i sin
πT"
7
(vi) vei/2, where v E C.
(v) (-2√3-2i) ¹6,
For (vi) your answer should be in terms of the properties of v.
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