19.5. Show that sin(n+1/2)0 2 sin 0/2 cos 0/2- cos(n +1/2)0 2 sin 0/2 + cos 0+ cos 20 + + cos ne %3D sin 0+ sin 20+ . .+sin no %3D The first equality is due to Lagrange.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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19.5. Show that
sin(n + 1/2)0
2 sin 0/2
cos 0/2- cos(n+1/2)0
2 sin 6/2
1
+ cos 0+ cos 20+ .+ cos no
sin 0+ sin 20+ +sin no
...
The first equality is due to Lagrange.
Transcribed Image Text:19.5. Show that sin(n + 1/2)0 2 sin 0/2 cos 0/2- cos(n+1/2)0 2 sin 6/2 1 + cos 0+ cos 20+ .+ cos no sin 0+ sin 20+ +sin no ... The first equality is due to Lagrange.
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