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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
10
iI. Find (-÷+ j"
iii.Fin
Find the roots of (1 + j)*/5
iV. Prove that tan50
t5-10t3+5t
where t tan0. Deduce the values of
5t4-10t2+1
()
for n = 1,2,3,4.
10
tan
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 10 iI. Find (-÷+ j" iii.Fin Find the roots of (1 + j)*/5 iV. Prove that tan50 t5-10t3+5t where t tan0. Deduce the values of 5t4-10t2+1 () for n = 1,2,3,4. 10 tan
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