SSC CGL 2020 PYQ — Question 54

SSC CGL Tier II - Quant - 18 Nov 2020 • Quantitative Aptitude • Q54

If sec θ + tan θ = 3, then the value of sec θ is :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 53\frac{5}{3}

We know that,

sec θ + tan θ = 3.........(1)

sec θ + tan θ = x then sec θ - tan θ = 1/x.

sec θ - tan θ = 1/3.......(2)

On adding eq(1) and (2) we get,

2 secθ = 10/3

secθ = 5/3.