SSC CGL 2019 PYQ — Question 73

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q73

If sec θ + tan θ = p , (p > 1), then  =?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. p²

we know that 

sec²θ - tan²θ = 1   →eq1

(secθ - tanθ)(secθ + tan θ ) = 1

→ eq 2

Now,

  → eq 3

Now,

secθ + tanθ = p

(1 + sinθ) = p cosθ     →eq 4

(1 - sinθ) = cosθ/p     →eq 5

  Putting values of eq4 and eq5 in eq 3: