Question

If $sec\theta +tan\theta =mandsec\theta -tan\theta =$

Answer 1

Given $\text{sec}\theta +\tan \theta =m$

As we know that

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

$⟹(\text{sec}\theta +\tan \theta )(\text{sec}\theta -\tan \theta )=1$

$⟹m(\text{sec}\theta -\tan \theta )=1$

$⟹\text{sec}\theta -\tan \theta =\frac{1}{m}$