Show that 1-ei0|= 2| sin(0/2). [Hint: first multiply by e-i0/2. For this question, you may not use a half-angle formula, unless you also prove it.]
Show that 1-ei0|= 2| sin(0/2). [Hint: first multiply by e-i0/2. For this question, you may not use a half-angle formula, unless you also prove it.]
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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Question
4
![Let be a real number.
(a) Show that |1e|2=2-2 cos 0.
(b) Show that 1-ei0|= 2| sin(0/2)|.
[Hint: first multiply by e-i0/2. For this question, you may not use a half-angle formula, unless
you also prove it.]
(c) Assume is not a multiple of 27. Determine the value of Re().
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F490cbcd2-ad81-426b-824f-903aced284ba%2F214e1062-aa4c-4beb-85fe-3f65f5da93a9%2Fnxfjou_processed.png&w=3840&q=75)
Transcribed Image Text:Let be a real number.
(a) Show that |1e|2=2-2 cos 0.
(b) Show that 1-ei0|= 2| sin(0/2)|.
[Hint: first multiply by e-i0/2. For this question, you may not use a half-angle formula, unless
you also prove it.]
(c) Assume is not a multiple of 27. Determine the value of Re().
4.
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