If sin2 θ - cos2 θ = 1/2 , what is the value of sin4 θ – cos4 θ ?
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∵sinθ+sin2θ=1
⇒sinθ=1−sin2θ=cos2θ
Squaring both sides
sin2θ=cos4θ
cos2θ=cos4θ
cos2θ+cos4θ=cos2θ+sin2θ=1
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