SSC CGL 2016 PYQ — Question 88

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q88

If sec θ + tan θ = m(> 1), then the value of sin θ is (0º < θ < 90º)

Show answer & explanation

Correct answer: B

Explanation

The correct option is 2.

sec θ + tan θ = m(> 1)

let θ = 45°

√2 + 1 = m

m2 = 3 + 2√2

m2 − 1 = 3 + 2√2 − 1 = 2 + 2√2

m2 + 1 = 3 + 2√2 + 1 = 2 + 2√2