已知tanα=1/3,tanβ=-2,求cot(α-β),并求α+β的值,其中0°
人气:131 ℃ 时间:2020-05-08 02:57:10
解答
tan(α-β)
=(tanα-tanβ)/(1+tanαtanβ)
=(1/3+2)/(1-2/3)
=7
cot(α-β)=1/tan(α-β)=1/7
tan(α+β)=(tanα+tanβ)/(1-tanαtanβ)=-1
0°
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