If xi>0 for 1≤i≤n and x1+x2+....+xn=π ,then find greatest value of sinx1+sinx2+.......+sinxn
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1 Answers
Lokesh Verma
·2009-08-24 07:23:40
use jensen's inequality to get
sinx1+sinx2+.......+sinxnn<= sin{(x1+x2+...xn)/n}
thus the answer is n sin(Ï€/n)