SarkariPYQ

SSC Selection Post 2025 PYQ — Question 33

SSC Selection Post - Higher Secondary Level - 29th July 2025 - Shift 2 • Quantitative Aptitude • Q33

Back to paper

If secθ + tanθ = p, what is the value of secθ in terms of p?

Show answer & explanation

Correct answer: A

Explanation

(secθ + tanθ)(secθ − tanθ) = 1

secθ − tanθ = 1/p

Adding both equations,

2secθ = p + 1/p

secθ = (p + 1/p) / 2

= (p² + 1) / 2p