question_answer

If \[\sin \theta -\cos \theta =0,\] then find the value of\[3{{\sin }^{2}}\theta +4{{\cos }^{3}}\theta \]. [where \[\theta \] is an acute angle]

A)  \[\frac{6+\sqrt{2}}{2}\]                       

B)  \[\frac{3+\sqrt{2}}{2}\]

C)  \[\frac{2+\sqrt{2}}{2}\]                       

D)  \[\frac{4+\sqrt{2}}{2}\]

E)  None of these