question_answer

\[\frac{{{\mathbf{(sin}\theta \mathbf{+cos}\theta \mathbf{)}}^{\mathbf{2}}}-\mathbf{3sin}\theta \mathbf{cos}\theta }{\mathbf{cos}\theta \mathbf{(sec}\theta -\mathbf{cosec}\theta \mathbf{)}}\], \[\frac{\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\theta -\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\theta }{\mathbf{si}{{\mathbf{n}}^{\mathbf{3}}}\theta \mathbf{+co}{{\mathbf{s}}^{\mathbf{3}}}\theta }\] is equal to________

A)  \[cos\text{ }\theta\]

B)  sin \[\theta\]

C)  \[\tan \theta \]

D)  \[\cos \theta\]

E) None of these