Page 1 of 2 ZOOM + 2. Prove the orthogonality of the sine function Specifically, prove that (0, if n' + n (n'ny' ca ппу sin sin dy = a a a if n' = n. Hint: Y ou need to use the following relationships: sin A sin B = [cos(A – B) – cos(A + B)] sin ax lim = a
Page 1 of 2 ZOOM + 2. Prove the orthogonality of the sine function Specifically, prove that (0, if n' + n (n'ny' ca ппу sin sin dy = a a a if n' = n. Hint: Y ou need to use the following relationships: sin A sin B = [cos(A – B) – cos(A + B)] sin ax lim = a
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
![Page
1
>
of 2
ZOOM
+
2. Prove the orthogonality of the sine function. Specifically, prove that
(0, ifn' + n
(n'пу)
dy =
a
sin ()
ппу
а
а
a
if n' =
= n.
Hint: Y ou need to use the following relationships:
1
sin A sin B =
F [cos(A - B) — сos(A + B)]
sin ax
lim
= a
x→0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feeaa6097-83f6-46df-a04d-008cb1c9dad1%2Ff41eaa53-8b52-4e20-9e16-f62185ce0b23%2Fl2k7d1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Page
1
>
of 2
ZOOM
+
2. Prove the orthogonality of the sine function. Specifically, prove that
(0, ifn' + n
(n'пу)
dy =
a
sin ()
ппу
а
а
a
if n' =
= n.
Hint: Y ou need to use the following relationships:
1
sin A sin B =
F [cos(A - B) — сos(A + B)]
sin ax
lim
= a
x→0
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