If sin⁴θ - cos⁴θ = k⁴ , find sin²θ - cos²θ in terms of k.
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Given :
sin⁴θ - cos⁴θ = k⁴
(sin²θ - cos²θ) ( sin²θ + cos²θ) = k⁴
(sin²θ - cos²θ) = k⁴
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