已知α,β是锐角 且α+β=2π/3,求cos^2 α +cos^2 β的取值范围?

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已知α,β是锐角且α+β=2π/3,求cos^2α+cos^2β的取值范围?已知α,β是锐角且α+β=2π/3,求cos^2α+cos^2β的取值范围?已知α,β是锐角且α+β=2π/3,求cos^2

已知α,β是锐角 且α+β=2π/3,求cos^2 α +cos^2 β的取值范围?
已知α,β是锐角 且α+β=2π/3,求cos^2 α +cos^2 β的取值范围?

已知α,β是锐角 且α+β=2π/3,求cos^2 α +cos^2 β的取值范围?
cos^2α+cos^2β
=(1+cos2α)/2+(1+cos2β)/2
=1+1/2*(cos2α+cos2β)
=1+1/2*2*cos(α+β)*cos(α-β)
=1-1/2*cos(α-β)
α,β是锐角,且α+β=2π/3,
所以
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