If \(\frac{1}{{{\rm{cosec\;\theta }} - 1}}{\rm{}} + {\rm{}}\frac{1}{{{\rm{cosec\;\theta \;}} + {\rm{\;}}1}}{\rm{}} = {\rm{}}2\sec {\rm{\theta }},{\rm{\;}}0^\circ < {\rm{\theta }} < 90^\circ \), then the value of (cot θ + cos θ) is:
1
(√2 + 1)/√2
2
(1 + √2)/2
3
1 + √2
4
(2 + √3)/2