Question

find the value of the give

Answer 1

Given,

$4\cos\theta=11\sin\theta\\\;\\\frac{\sin\theta}{\cos\theta}=\frac{4}{11}\\\;\\\tan\theta=\frac{4}{11}\\\;\\Now,\\\;\\\frac{11-7\tan\theta}{11+7\tan\theta}=\frac{11-\frac{7*4}{11}}{11+\frac{7*4}{11}}\\\;\\=\frac{121-28}{121+28}\\\;\\=\frac{93}{149}\;\textbf{Ans.}$