cos2θ=√2/3,则cos^4-sin^4的值为cos2θ=(√2)/3,则cos^4 θ-sin^4 θ的值为________.

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cos2θ=√2/3,则cos^4-sin^4的值为cos2θ=(√2)/3,则cos^4 θ-sin^4 θ的值为________.
cos2θ=√2/3,则cos^4-sin^4的值为
cos2θ=(√2)/3,则cos^4 θ-sin^4 θ的值为________.

cos2θ=√2/3,则cos^4-sin^4的值为cos2θ=(√2)/3,则cos^4 θ-sin^4 θ的值为________.
cos^4 θ-sin^4 θ=[(cosθ)^2+(sinθ)^2][(cosθ)^2-(sinθ)^2]=1*cos2θ=(√2)/3