question_answer

The value of \[\frac{\cot \theta +\operatorname{cosec}\theta -1}{\cot \theta -\operatorname{cosec}\theta +1}\] is

A) \[\frac{1+\cos \theta }{\sin \theta }\]

B) \[\frac{1+\sin \theta }{\sin \theta }\]

C) \[\frac{1-\cos \theta }{\sin \theta }\]

D) \[\frac{1-sin\theta }{\sin \theta }\]