SSC CGL 2019 PYQ — Question 4

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q4

If  , then the value of  is :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 

⇒ Sin2Φ + (1 + CosΦ)2/(1 + CosΦ)SinΦ = 4/√3

⇒ Sin2Φ + 1 + Cos2Φ + 2CosΦ/(1 + CosΦ)SinΦ = 4/√3

⇒ 2 + 2CosΦ/(1 + CosΦ)SinΦ = 4/√3

⇒ 2/SinΦ = 4/√3

⇒ Φ = 60o

Putting the value of