求完整降幂公式!
1个回答

降幂公式

(cosα)^2=(1+cos2α)/2

(sinα)^2=(1-cos2α)/2

(tanα)^2=(1-cos2α)/(1+cos2α)推导公式如下

直接运用二倍角公式就是升幂,将公式Cos2α变形后可得到降幂公式:

cos2α=(cosα)^2-(sinα)^2=2(cosα)^2-1=1-2(sinα)^2

cos2α=2(cosα)^2-1,(cosα)^2=(cos2α+1)/2

cos2α=1-2(sinα)^2,(sinα)^2=(1-cos2α)/2