cosθ^2+cos(θ+π/3)^2-cosθcos(θ+π/3)化简如何化简

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cosθ^2+cos(θ+π/3)^2-cosθcos(θ+π/3)化简如何化简

cosθ^2+cos(θ+π/3)^2-cosθcos(θ+π/3)化简如何化简
cosθ^2+cos(θ+π/3)^2-cosθcos(θ+π/3)化简
如何化简

cosθ^2+cos(θ+π/3)^2-cosθcos(θ+π/3)化简如何化简
原式=cosθ^2+【cos(θ+兀/3)】×【cos(θ+兀/3)-cosθ】=cosθ^2+(1/2cosθ-√2/2sinθ)×(1/2cosθ-√2/2sinθ-cosθ)=cosθ^2+1/2sinθ^2-1/4cosθ^2=3/4cosθ^2+1/2sinθ^2=1/4cosθ^2+1/2