证明根号3sina-cosa=2sin(a-π/6)

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证明根号3sina-cosa=2sin(a-π/6)
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证明根号3sina-cosa=2sin(a-π/6)
证明根号3sina-cosa=2sin(a-π/6)

证明根号3sina-cosa=2sin(a-π/6)
根号3sina-cosa
=2(根号3/2*sina-1/2*cosa)
=2(sinacosπ/6-cosasinπ/6)
=2sin(a-π/6)

2sin(a-π/6)=2(sinacosπ/6-cosasinπ/6)=2(sina(根号3)/2-cosa1/2)=根号3sina-cosa

左边=2(3/2sina-1/2cosa)
=2(cos30sina-sin30cosa)
=右边