已知tanα=3,则sinαcosα等于多少

问题描述:

已知tanα=3,则sinαcosα等于多少

借助于sin^2+cos^2=1解,sinacosa=sinacosa/(sin^2+cos^2)=(sinacosa/cosa^2)/(sin^2/cos^2+cosa^2/cosa^2)
=tana/(1+tan^2)=3/10