\({Simplify } \frac{1 + \sin \theta - \cos \theta}{1 + \sin \theta + \cos \theta}\)

1
\(\cos \frac{\theta}{2}\)
2
\(\sin \frac{\theta}{2}\)
3
\(\cot \frac{\theta}{2}\)
4
\(\mathbf{\tan \frac{\theta}{2}}\)
5
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