SSC CGL 2020 PYQ — Question 66

SSC CGL - 7th March 2020 Shift 1 • Quantitative Aptitude • Q66

The value of (1 - 2Sin2θ Cos2θ)/(Sin4θ + Cos4θ) - 1 is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 0.

Understanding/Application

(1 - 2Sin2θ Cos2θ)/(Sin4θ + Cos4θ) - 1

= (1 - 2Sin2θ Cos2θ -Sin4θ - Cos4θ)/(Sin4θ + Cos4θ) 

= 1 - (Sin2θ + Cos2θ)2/(Sin4θ + Cos4θ)

= (1 - 1)/(Sin4θ + Cos4θ)

= 0