(d) Show that 1– ei(n+1)0 1 – eie ei(2n+1)e/2 ,-i0/2 - e 2i sin(0/2) Hint: Factor e!6/2 out of the numerator and denominator on the left-hand side. (e) Show that 1 sin((2n + 1)0/2) Σcos(kθ) + 2 sin(0/2) k=0
(d) Show that 1– ei(n+1)0 1 – eie ei(2n+1)e/2 ,-i0/2 - e 2i sin(0/2) Hint: Factor e!6/2 out of the numerator and denominator on the left-hand side. (e) Show that 1 sin((2n + 1)0/2) Σcos(kθ) + 2 sin(0/2) k=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2nd order linear
![(d) Show that
1– e'(n+1)0
1– eio
ei(2n+1)8/2
-i0/2
- e
2i sin(0/2)
Hint: Factor e'er2 out of the numerator and denominator on the left-hand side.
(e) Show that
n
E cos(k0) :
sin((2n + 1)0/2)
+
2 sin(0/2)
k=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32ac3e12-ae1c-4f9c-8855-d6c71d330ed6%2Fdf92770d-0a79-43b3-932a-3d3d81066e6a%2F3db2xmi_processed.png&w=3840&q=75)
Transcribed Image Text:(d) Show that
1– e'(n+1)0
1– eio
ei(2n+1)8/2
-i0/2
- e
2i sin(0/2)
Hint: Factor e'er2 out of the numerator and denominator on the left-hand side.
(e) Show that
n
E cos(k0) :
sin((2n + 1)0/2)
+
2 sin(0/2)
k=0
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