Weird Summation 2
r = 1 ∑ ω ( cos 2 r tan 2 r − 1 ) = tan ( p ω ) − tan ( q ) Find p + q .
The answer is 3.
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2 solutions
how much are u getting in that paper.......It was a nightmare for me!! :P
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About 120 how much u are getting?
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I am getting very less marks....don't ask how much. :P
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@Samarth Agarwal – Ok i won't force you but atleast tell what is the highest score from ur centre ?
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@Prakhar Bindal – 76 :( and urs ??
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@Samarth Agarwal – Actually we have a class today ! and i will get to know about it today ! . did u appeared in ftre?
Also how r ur preparation going for INMO
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@Prakhar Bindal – I did not appeared for ftre...I am actually confused which book should I refer for INMO.... can you suggest some books.....Just now I am dependent only on previous papers and Brilliant .
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@Samarth Agarwal – Yeah I know two books which were used by my friend who qualified INMO last year.
Olympiad Mathematics By Asha Rani Singhal (Its a very old book and its difficult too find but it is extremely useful for INMO)
Mathematical Circles (Russian Experience)
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@Prakhar Bindal – K..thnx for that
@Prakhar Bindal – This book
https://www.sapnaonline.com/olympiad-mathematics-4814093
Hint:The general term in summation is equivalent to sin(C)/(cosAcosB) which gives hint of expressing Numerator as sin(A-B) & coincidently C=A-B.job done!!
This Problem came recently in AIITS-3 . Well the problem is already there on brilliant!
https://brilliant.org/problems/sum-up-this-trigonometric-function-if-you-can/?group=uluK7OySfVw1