(sin⁴theta + cos⁴theta) ÷ (1-2sin²theta.cos²theta)
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Step-by-step explanation:
sinθ⁴ + cosθ⁴/ (1-2sinθ².cosθ²)
=(sinθ²+coθs²)²-2sinθ²cosθ²/ (1-2sin²θcosθ²)
[sinθ⁴ + cosθ⁴= (sinθ²+cosθ²)²-2sinθ²cosθ²]
= 1-2sinθ².cosθ²/1-2sinθ².cosθ²
= 1
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