Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

What is the value of \(\rm \frac{tan\,\theta - sec\,\theta + 1}{tan\,\theta + sec\,\theta - 1}\)?

1
sec θ + tan θ 
2
\(\rm \frac{(1 + sin\,\theta)}{cos\,\theta} \)
3
2 sec θ 
4
\(\rm \frac{cos\,\theta}{(1 + sin\,\theta)} \)
5
None of these

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