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Prove the identity

\sum\limits_{k=0}^n\binom{n}{k}\left(\tan\frac{x}{2}\right)^{2k}\left(1+\frac{2^k}{\left(1-\tan^2\frac{x}{2}\right)^k}\right)...

for any natural number n and any angle x.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1979IMO Shortlist 1997 problem 230
1830IMO Shortlist 1992 problem 30
1804IMO Shortlist 1991 problem 60
1746IMO Shortlist 1989 problem 80
1745IMO Shortlist 1989 problem 70
1272IMO Shortlist 1967 problem 30