Question

If 5 tan θ − 4 = 0, then the value of $\frac{5\sin \theta -4\cos \theta }{5\sin \theta +4\cos \theta }$ is

(a) $\frac{5}{3}$
(b) $\frac{5}{6}$
(c) 0
(d) $\frac{1}{6}$

Answer 1

Given that:.We have to find the value of the following expression

Since

We know that:

Since and

Now we find

Hence the correct option is