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已知sinα=-3/5,α∈(-π/2,0),则tan(π/4-α)的值为
人气:337 ℃ 时间:2020-02-05 23:45:05
解答
sinα=-3/5,α∈(-π/2,0)cosα=根号(1-sin^2)=根号[1-(-3/5)^]=4/5tanα=sinα/cosα=-3/5 / (4/5) = -3/4tan(π/4-α)=(tanπ/4-tanα)/(1+tanπ/4tanα)=(1-tanα)/(1+tanα)=(1+3/4)/(1-3/4)=7
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