Question

The value of f(π/6)  where

f(θ) = |(cos²θ, cosθsinθ, -sinθ), (cosθsinθ, sin²θ, cosθ), (sinθ, - cosθ, 0)| is

(A) 0

(B) 1

(C) 2

(D) 3

Answer 1

Answer is (B) 1

C₁ → C₁ - sinθC₃ and C₂ → C₂ + sinθC₃

Again R₃ - sinθR₁ + cosθ R₂, we get