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已知cosα=1/3(-2/π<α<0),求[cos(π/2+α)cosα]/cos(π-α)cos(-α)的值
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cosα=1/3(-π/2<α<0),
sinα=-√(1-cos²α)=-2√2/3
[cos(π/2+α)cosα]/[cos(π-α)cos(-α)]
=(-sinαcosa)/(cosαcosα)
=-sinα/cosa
=2√2
sinα=-√(1-cos²α)=-2√2/3
[cos(π/2+α)cosα]/[cos(π-α)cos(-α)]
=(-sinαcosa)/(cosαcosα)
=-sinα/cosa
=2√2
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