how can we prove the following identity: (j −1(2)) + sin(2+1(2π), n+1 n+1 sin ( for j = 1,2...n-1, z = 1, 2, ...n 2π -) n+1 -) = 2cos(- () sin(~ (1) (nπ)). n+1

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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Subject-advance maths

how can we prove the following identity:
sin (:
for
-
1(2T)
n+1
-) + sin(¹ +1(27) -) = 2cos(—~^_~)sin(~(1)(n^) -),
n+1
n+1
j=1,2...n-1, z = 1,2,...n
Transcribed Image Text:how can we prove the following identity: sin (: for - 1(2T) n+1 -) + sin(¹ +1(27) -) = 2cos(—~^_~)sin(~(1)(n^) -), n+1 n+1 j=1,2...n-1, z = 1,2,...n
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