SSC CGL 2018 PYQ — Question 51

SSC CGL Tier II Quant - 20/02/2018 • Quantitative Aptitude • Q51

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. √2

sec θ (cos θ + sin θ) = √2

1 + tan θ = √2

tan θ = (√2 – 1) ⇒ So, [(cot θ = √2 + 1)]