Determine the minimum value of a positive integer N, satisfying:

cos 96^{o} + sin 96^{o}
tan 19N^{o} = -----------------
cos 96^{o} - sin 96^{o}

(In reply to

re(2): Actual answer -- calculator solution by Jer)

Without analytical solution it boils down to check your level of working

with a standard scientific calculator.

I have expressed LS by a COS 96^{o} but could neither find any reasonable connection with 19^{o }nor did I got an irrational formula, like a+b*sqrt(c) that could be related to both angles.

I hope that KS either provides an "official" solution or declares that

he has none.