If sin²θ – cos²θ = 1/4 , then the

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If sin²θ – cos²θ = 1/4 , then the value of (sin⁴θ – cos⁴θ) is :

1. 3
  4
2. 1
  4
3. 1
  16
4. 1
  2

Correct Option: B

sin²θ – cos²θ = 1/4
∴ sin⁴θ – cos⁴θ = (sin²θ + cos²θ)
(sin²θ – cos²θ) = 1/4