SSC CGL 2020 PYQ — Question 40

SSC CGL Tier II - Quant - 18 Nov 2020 • Quantitative Aptitude • Q40

If (cos2θ)/(cot2θ-cos2θ) =3, where 0º < θ < 90º then the value of θ is:

 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 60º

cos2θ/(cot2θ - cos2θ) = 3

cos2θ = 3cot2θ - 3cos2θ

4 cos2θ = 3 cos2θ/sin2θ 

sin2θ = 3/4

sinθ = 3\sqrt3/2

sinθ = sin60

θ = 60°