已知cos(π+α)=-1/2,且α是第四象限角,计算{sin[α+(2n+1)π]+sin[α-(2n+1)π]}
1个回答
cosα=-cos(π+α)=1/2
原式=[sin(α+π)+sin(α-π)]/(sinαcosα)
=-2sinα/(sinαcosα)
=-2/cosα
=-4
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