化简求值1/2*sin2α-cos^2(π/4-α)

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化简求值1/2*sin2α-cos^2(π/4-α)

化简求值1/2*sin2α-cos^2(π/4-α)
化简求值1/2*sin2α-cos^2(π/4-α)

化简求值1/2*sin2α-cos^2(π/4-α)
1/2*sin2α-cos^2(π/4-α)
=1/2*sin2α-[1+cos(π/2-2α)]/2
=1/2*sin2α-1/2-1/2*sin2α
=-1/2.