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合角公式sin(α+β)=sinαcosβ+cosαsinβ
cos(α+β)=cosαcosβ-sinαsinβ
tanα+tanβ tan(α+β)= ——————
1-tanαtanβ
差角公式sin(α-β)=sinαcosβ-cosαsinβ
cos(α-β)=sinαsinβ+sinαsinβ
tanα+tanβ
tan(α-β)= ——————
1-tanαtanβ
倍角公式sin2α=2sinαcosα cos2α=cos²α-sin²α=2cos²α-1=1-2sinα
2tanα
tan2α= ——————
1-tan²α
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合角公式sin(α+β)=sinαcosβ+cosαsinβ
cos(α+β)=cosαcosβ-sinαsinβ
tanα+tanβ tan(α+β)= ——————
1-tanαtanβ
差角公式sin(α-β)=sinαcosβ-cosαsinβ
cos(α-β)=sinαsinβ+sinαsinβ
tanα+tanβ
tan(α-β)= ——————
1-tanαtanβ
倍角公式sin2α=2sinαcosα cos2α=cos²α-sin²α=2cos²α-1=1-2sinα
2tanα
tan2α= ——————
1-tan²α