Question

Given that tan θ = $\frac{1}{\sqrt{3}}$, the value of $\frac{\cos e{c}^2\theta -se{c}^2\theta }{\cos e{c}^2\theta +se{c}^2\theta }$ is

(a) − 1

(b) 1

(c) $\frac{1}{2}$

(d) $-\frac{1}{2}$

Answer 1

Given:

We have to find the value of the following expression

Now, so

perpendicular =1

base =

and

Therefore

and

Put the above two values in the given expression, we have

Hence the correct option is