Problem B. 4745. (November 2015)
B. 4745. Let \(\displaystyle n\) be a positive integer. Solve the equation \(\displaystyle \frac{1}{\sin^{2n} x} +
\frac{1}{\cos^{2n} x} = 2^{n+1}\).
Proposed by L. Longáver, Szatmárnémeti
(4 pont)
Deadline expired on 10 December 2015.
Statistics:
98 students sent a solution.  
4 points:  77 students. 
3 points:  12 students. 
2 points:  3 students. 
1 point:  1 student. 
0 point:  3 students. 
Unfair, not evaluated:  1 solution. 
Unfair, not evaluated:  1 solution. 
