化简:cos(60-α)-cos(60+α)

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化简:cos(60-α)-cos(60+α)
化简:cos(60-α)-cos(60+α)

化简:cos(60-α)-cos(60+α)
cos(60-a)-cos(60+a)
=cos60cosa+sin60sina-[cos60cosa-sin60sina]
=2sin60sina
=根号3*sina

cos(60-α)-cos(60+α)
=-2sin[(60-α+60+α)/2]*sin(60-α-60+α)/2]
=-2sin60sin-α
=√3*sinα

cos(60-α)-cos(60+α)
=cos60cosa+sin60sina-cos60cosa+sin60sina
=2sin60sina
=√3sina

和差化积