question_answer

\[\mathbf{cosec}\theta \left( \mathbf{sec}\theta -\mathbf{1} \right)-\mathbf{cot}\theta \text{ }\left( \mathbf{1}-\mathbf{cos}\,\theta  \right)\]equals to _______

A)  \[tan\text{ }\theta \text{ }+\text{ }sin\text{ }\theta \]                                          

B)  \[tan\text{ }\theta \text{ }+\text{ }\cot \text{ }\theta \]

C)  \[tan\text{ }\theta \text{ }+\text{ }\cos \text{ }\theta \]                                       

D)  \[tan\text{ }\theta \text{ }-\sin \text{ }\theta \]

E)  None of these