
已知sinθ+cosθ=1/2,求sin^4θ+cos^4θ的值。
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sinθ+cosθ=1/2 =>(sinθ+cosθ)^2=1/4=1-2sinθcosθ =>sinθcosθ=3/8
sin^4θ+cos^4θ=(sin^2θ+cos^2θ)^2-2sin^2θcos^2θ=1-2(sinθcosθ)^2=1-2(3/8)^2=23/32
sin^4θ+cos^4θ=(sin^2θ+cos^2θ)^2-2sin^2θcos^2θ=1-2(sinθcosθ)^2=1-2(3/8)^2=23/32
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