question_answer

If \[\frac{1}{4}\] is in the first quadrant and \[\cos \theta =\frac{3}{5}\], then value of \[\frac{5tan\theta -4\operatorname{cosec}\theta }{5\sec \theta -4\cot \theta }\] is

A) \[\frac{5}{34}\]

B) \[\frac{5}{16}\]

C) \[\frac{5}{-34}\]

D) \[\frac{-5}{16}\]