SSC CPO 2019 PYQ — Question 123

SSC CPO Tier I - 9th December 2019 - Shift 1 • Quantitative Aptitude • Q123

If, 0 < θ < 90°and sin(2θ + 50) = cos (4θ + 16), then what is the value ofθ (in degrees)?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4  i.e. 4o

Understanding

Application

sin θ = cos (90– θ)

sin (2θ + 50) = cos (4θ + 16)

sin (2θ + 50) = sin (90 – 4θ – 16)

(2θ + 50) = (90 – 4θ – 16)

6θ = 24

θ = 4o