question_answer

If \[\tan \theta =\frac{a}{b}\], then \[\frac{a\sin \theta +b\cos \theta }{a\sin \theta -b\cos \theta }\]is equal to

A) \[\frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]     

B) \[\frac{a+b}{a-b}\]

C) \[\frac{{{a}^{2}}+{{b}^{2}}}{{{a}^{2}}-{{b}^{2}}}\]     

D) \[\frac{a-b}{{{a}^{2}}-{{b}^{2}}}\]

E) None of these