Question

If $\sec \theta -\tan \theta =\frac{1}{4x}$, then find the value of $\sec \theta +\tan \theta$.

Answer 1

Given, $\sec \theta -\tan \theta =\frac{1}{4x}$.......(1).

We know ${\sec }^2\theta -{\tan }^2\theta =1$

or, $(\sec \theta +\tan \theta )(\sec \theta -\tan \theta )=1$

or, $(\sec \theta +\tan \theta )=4x$ [Using (1)]