Question

If 3 cos θ = 5 sin θ, then the value of $\frac{5\sin \theta -2{\sec }^3\theta +2\cos \theta }{5\sin \theta +2{\sec }^3\theta -2\cos \theta }$is

(a) $\frac{271}{979}$
(b) $\frac{316}{2937}$
(c) $\frac{542}{2937}$
(d) None of these

Answer 1

We have,

So we can manipulate it as,

So now we can get the values of other trigonometric ratios,

So now we will put these values in the equation,

So the answer is (a).