If tan θ = \(\frac{1}{{\sqrt 7 }}\), then the value of \(\frac{{{\rm{cose}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}\, - {\rm{se}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}\,}}{{{\rm{cose}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}\, + {\rm{se}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}}}\) equals:

1
\(\frac{{\sqrt 7 }}{4}\)
2
\(\frac{1}{4}\)
3
\(\frac{3}{4}\)
4
\(\frac{-3}{4}\)

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