降幂公式求讲解

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