If sin θ , 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