question_answer

If \[\mathbf{cot}\theta \,(\mathbf{1+sin}\theta )=\mathbf{2}\text{ }\mathbf{m}\] and \[\mathbf{cot}\theta ~\]\[(\mathbf{1}-\mathbf{sin}\theta )=\mathbf{2n}\] then \[{{\left( {{\mathbf{m}}^{\mathbf{2}}}-{{\mathbf{n}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\]equals to _________.

A)  2 mm                                                              

B)  mn         

C)  4 mn       

D)  3mn

E)  None of these