If cos θ = √3/2, then tan2θcos2θ = ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1/4.
⇒ cos θ = √3/2
⇒ cosθ = cos(30)
⇒ θ = 30
Value of tan2θ × cos2θ = tan2(30) × cos2(30)
= (1/√3)2 × (√3/2)2
= 1/3 × 3/4
= 1/4