SarkariPYQ

SSC CGL 2023 PYQ — Question 63

SSC CGL - 14 July 2023 - Shift 4 • Quantitative Aptitude • Q63

Back to paper

If secθ + tanθ = 5, ( θ ≠ 0 ), then secθ is equal to:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 12(5+15)\frac{1}{2}(5+\frac{1}{5}).

Given that

If secθ + tanθ = 5 ......(1

As we know,

⇒ (secθ - tanθ) = 1/(secθ + tanθ)

⇒ secθ - tanθ = 1/5 ...........(2

Equation 1 + Equation 2 

⇒ 2secθ = 5 + 1/5 

⇒ secθ = 12(5+15)\frac{1}{2}(5+\frac{1}{5})