求证:cosαcos(π/3+α)cos(π/3-α)=cos3α如题,求证:4cosαcos(π/3+α)cos(π/3-α)=cos3α不好意思 少打个4
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求证:cosαcos(π/3+α)cos(π/3-α)=cos3α如题,求证:4cosαcos(π/3+α)cos(π/3-α)=cos3α不好意思 少打个4
求证:cosαcos(π/3+α)cos(π/3-α)=cos3α
如题,
求证:4cosαcos(π/3+α)cos(π/3-α)=cos3α
不好意思 少打个4
求证:cosαcos(π/3+α)cos(π/3-α)=cos3α如题,求证:4cosαcos(π/3+α)cos(π/3-α)=cos3α不好意思 少打个4
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证明:由积化和差公式可得
cos(π/3+α)cos(π/3-α) =(cos2π/3+cos2a)/2=(cos2a-1/2)/2
所以4cosa(cos2a-1/2)/2=2cosa(cos2a-1/2)=2cosacos2a-cosa
=cos3a+cosa-cosa=cos3a
所以该等式成立
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求证:cosαcos(π/3+α)cos(π/3-α)=cos3α如题,求证:4cosαcos(π/3+α)cos(π/3-α)=cos3α不好意思 少打个4
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