Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

If \(\left( {\frac{{{\rm{sin\;x}} + {\rm{tan\;x}}}}{{1 + {\rm{cos\;x}}}}} \right)\left( {\frac{{{\rm{cos\;x}} + {\rm{cotx}}}}{{1 + {\rm{sin\;x}}}}} \right) = {\rm{tan\theta }}\), then, what is the value of θ?

1
π/3
2
π/6
3
π/2
4
π/4

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