If sec A + tan A = 5/2 , then what is sec A - tan A ?

If $\sec A + \tan A = \frac{5}{2}$ , then what is $sec A - \tan A$ ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{2}{5}$ .

Formula: sec²A – tan²A = 1

⇒ (sec A – tan A)(sec A + tan A) = 1

⇒ (sec A – tan A) × (5/2) = 1

⇒ sec A – tan A = 2/5

SSC CGL 2025 PYQ — Question 52