question_answer

If \[\theta \] is a positive acute angle and \[2\,\sin \theta +15\,{{\cos }^{2}}\theta =7,\] then value of \[\tan \theta +\cot \theta \] is _______.

A)  \[\frac{25}{12}\]

B)  \[\frac{13}{6}\]

C)  \[\frac{15}{8}\]                        

D)  \[\frac{20}{6}\]

E)  None of these