已知sinx+cosx=1/5,(-π/2
人气:259 ℃ 时间:2020-03-15 19:24:17
解答
sinx+cosx=1/5
两边平方得:
1+2sinxcosx=1/25
sinxcosx=-12/25
(3sin^2*x/2-2cosx/2sinx/2+cos^2*x/2)/tanx+(1/tanx)
=(2sin²x/2-sinx+1)/1/sinxcosx
=(1-cosx-sinx+1)*(-12/25)
=(2-1/5)*(-12/25)
=-108/125
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