Note: Answers must be in 4 decimal places. 1.Use De Moivre's Theorem to solve the following. I. Find [2(cos120° + jsin120º)]³ ii. Find II.Find the roots of (1 + j)/5 IV. Prove that tan50 (등/+름-) t5-10t3+5t where t = tan0. Deduce the values of 5t4-10t2+1 tan () for n = 1,2,3,4. uu Y10,

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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Note: Answers must be in 4 decimal places.
1.Use De Moivre's Theorem to solve the following.
I. Find [2(cos120° + jsin120°)]5
ii.
10
Find (-+j
III. Find the roots of (1 + j)*/
t5-10t3+5t
IV.Prove that tan50
where t = tan0. Deduce the values of
5t4-10t2+1
tan () for n = 1,2,3,4.
10
Transcribed Image Text:Note: Answers must be in 4 decimal places. 1.Use De Moivre's Theorem to solve the following. I. Find [2(cos120° + jsin120°)]5 ii. 10 Find (-+j III. Find the roots of (1 + j)*/ t5-10t3+5t IV.Prove that tan50 where t = tan0. Deduce the values of 5t4-10t2+1 tan () for n = 1,2,3,4. 10
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