SSC CGL 2020 PYQ — Question 25

SSC CGL Tier II - Quant - 15 Nov 2020 • Quantitative Aptitude • Q25

The value of (Sec2 θ(2+tan2θ + cot2θ) ÷ (sin2θ – tan2θ))/(Cosec2θ + sec2θ)(1+cot2θ)2is:

 

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. -1

Concept 

Value putting

Put θ = 45° 

Application

2 × 4 ÷ (1 / 2−1) / (2+2) x (1+1)2

2 × 4 × (−2) /  4 × 22

-16/16

-1