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 December 10, 2015.
Statistics:
97 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 solutions.
Problems in Mathematics of KöMaL, November 2015