Mathematical and Physical Journal
for High Schools
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# 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 solution.

Problems in Mathematics of KöMaL, November 2015