Question

If $\sec \theta +\tan \theta =p$, then find the value of $\sec \theta -\tan \theta$

Answer 1

Given secA + tan A = p

Recall the identity, sec²A – tan²A = 1

⇒ (secA + tan A)(secA – tanA) = 1

⇒ p × (secA – tanA) = 1

∴ (secA – tanA) = 1/p