question_answer

The value of \[\frac{\tan \alpha }{1-\cot \alpha }+\frac{cot\alpha }{1-tan\alpha }\] is identically equal to

A) \[\sec \alpha \,\cdot \,\operatorname{cosec}\alpha \]

B) \[\sin \alpha \,\cdot \,\cos \alpha \]

C) \[\sec \alpha \,\cdot \,\operatorname{cosec}\alpha +1\]

D) \[\sin \alpha \,\cdot \,\cos \alpha +1\]