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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
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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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.
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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