2sin^2αcosα-sin(3/2π-α)cos2α

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2sin^2αcosα-sin(3/2π-α)cos2α
2sin^2αcosα-sin(3/2π-α)cos2α

2sin^2αcosα-sin(3/2π-α)cos2α
原式=2(1-cos2a)/2*cosa+cosacos2a
=cosa-cos2acosa+cosacos2a
=cosa