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 points:	3 students.
irregular:	1 script.

Problems in Mathematics of KöMaL, November 2015