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已知sin(2π-a)=4/5,a∈(3/2π,2π),则(sina+cosa)/(sina-cosa)等于
人气:182 ℃ 时间:2020-01-31 14:08:31
解答
sin(2π-a)=4/5
sin(-a)=4/5
sina=-4/5
a∈(3/2π,2π),cosα>0
cosα=根号(1-sin^2α)=根号{1-16/25} = 3/5
(sina+cosa)/(sina-cosa)
=(-4/5+3/5)/(-4/5-3/5)
=-1/(-7)
=1/7
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