question_answer

If \[\mathbf{sin}\theta -\mathbf{cos}\theta =\mathbf{0}\], then find the value of \[\mathbf{(si}{{\mathbf{n}}^{\mathbf{4}}}\theta \mathbf{+co}{{\mathbf{s}}^{\mathbf{4}}}\theta \mathbf{)}\], where \[\theta \] is a, acute angle.

A)  \[\frac{1}{3}\]                                                             

B)  \[\frac{\sqrt{2}}{4}\]

C) \[\frac{1}{2}\]              

D)  \[\frac{\sqrt{2}}{2}\]                     

E)  None of these