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已知tanα=-2,求下列各式值
(1) cosα+3sinα/3cosα-sinα
(2)sin^2α+2sinαcosα-10cos^2α+1
人气:305 ℃ 时间:2020-09-30 00:10:02
解答
∵tanα=-2∴cosα≠0(1)原式=(cosα+3sinα)/(3cosα-sinα)=[(cosα+3sinα)×1/cosα]/[(3cosα-sinα)×1/cosα]=(1+3sinα/cosα)/(3-sinα/cosα)=(1+3tanα)/(3-tanα)=[1+3×(-2)]/(3+2)=-1(2) ∵sin²...
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