question_answer

If\[\sqrt{3}\tan \theta =3\sin \theta \], find the value of\[{{\sin }^{2}}\theta -{{\cos }^{2}}\theta \].

A)  \[\frac{\sqrt{2}}{\sqrt{3}}\]                                       

B)  \[\frac{1}{3}\]   

C)  \[\frac{1}{2}\]                                  

D)         \[\frac{1}{\sqrt{3}}\]