Problem 3: Show that cos () 1+cos 0 COS and sin(을) = 1-cos 0 2 using De Moivre's Theorem.

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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Answer problem 3
Problem 1: Evaluate
1
(cos 20+i sin 20)² (cos 30+i sin 30)2
(cos 40+i sin 40)(cos 60+i sin 60)
Problem 2: Determine the five roots of
32e (1.047)
z =
the Argand Diagram
Show the roots in
Problem 3: Show that
(1) =
sin(을)
1+cos 0
CoS
2
2
and
1-cos 0
2
2
using De
Moivre's Theorem.
)()
7+8i
4+5i
6-3i
8-4i
Problem 4: Evaluate
Transcribed Image Text:Problem 1: Evaluate 1 (cos 20+i sin 20)² (cos 30+i sin 30)2 (cos 40+i sin 40)(cos 60+i sin 60) Problem 2: Determine the five roots of 32e (1.047) z = the Argand Diagram Show the roots in Problem 3: Show that (1) = sin(을) 1+cos 0 CoS 2 2 and 1-cos 0 2 2 using De Moivre's Theorem. )() 7+8i 4+5i 6-3i 8-4i Problem 4: Evaluate
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