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已知tanx=2(1)求(2/3)sin^2x+(1/4)cos^2x的值
(2)求2sin^x-sinxsosx+cos^2x的值
人气:123 ℃ 时间:2020-04-06 00:41:11
解答
tanx=2平方得sin²x=4cos^2x5cos^2x=1 cos^2x=1/5sin^2x=4/5sinxcosx=√[sin^2xcos^2x]=2/5(2/3)sin^2x+(1/4)cos^2x=(8/12)sin^2x+(3/12)cos^2x=(3/12)[sin^2x+cos^2x]+(5/12)sin^2x=(3/12)+(5/12)sin^2x=3/12+(...
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