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.


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