JEE Main 2016 (28)

Geometry Level 3

If \(\sec x+\tan x=\frac{22}{7}\) and \( \csc x+\cot x=\frac{m}{n}\) where \(\mathrm{gcd}(m,n)=1\) and \(m,n\) are positive integers.

Then find the value of \(m+n\).