SSC CGL 2019 PYQ — Question 63

SSC CGL - 12th June 2019 - Shift 3 • Quantitative Aptitude • Q63

If cosec 4θ = sec (60° – 2θ), then θ is equal to:

Show answer & explanation

Correct answer: D

Explanation

Correct Answer is option 4 i.e. 15°

Concept
cosec(90 – θ) = sec θ
Understanding

Given

cosec 4θ = sec (60° – 2θ)

Application

cosec 4θ = sec (60° – 2θ)

We can write it as:

cosec 4θ = cosec[90° – (60° – 2θ)]

Comparing:

4θ = 90° – 60° + 2θ

⇒θ = 15°