SSC CGL 2022 PYQ — Question 57

SSC CGL - 06 Dec 2022 - Shift 3 • Quantitative Aptitude • Q57

If sin θ =12=\frac{1}{2}, then the value of (3cos θ - 4 cos3 θ) is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.

Formula used:

Cos3θ = 3cos θ - 4 cos3 θ       ---- (1)

Calculations:

We know that, sin θ = 1/2 when θ = 30

Using equation (1), we get

⇒ 3cos θ - 4 cos3 θ = Cos3θ

⇒ cos 3(30) = cos 90 = 0