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倍角公式的推导

更新时间: 2021-05-18 02:43:26     

1、正弦二倍角公式:sin2α = 2cosαsinα。推导:sin2A=sin(A+A)=sinAcosA+cosAsinA=2sinAcosA。

2、拓展公式:sin2A=2sinAcosA=2tanAcosA^2=2tanA/[1+tanA^2] 1+sin2A=(sinA+cosA)^2。

关键词: 公式 推导

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