Problem B. 4739. (October 2015)
B. 4739. Consider all real numbers \(\displaystyle x\) for which \(\displaystyle \tan x + \cot x\) is a positive integer. Find those of them for which \(\displaystyle \tan^3x + \cot^3 x\) is a prime number.
Proposed by B. Bíró, Eger
(4 pont)
Deadline expired on November 10, 2015.
Statistics:
166 students sent a solution. 4 points: 105 students. 3 points: 39 students. 2 points: 7 students. 1 point: 8 students. 0 point: 5 students. Unfair, not evaluated: 2 solutionss.
Problems in Mathematics of KöMaL, October 2015