已知tan a=2 ,2sin a cos a=?(sina)^2-sin a cos a -2(cos a)^2=?
问题描述:
已知tan a=2 ,2sin a cos a=?(sina)^2-sin a cos a -2(cos a)^2=?
答
4/5,0
答
利用sin^2 a+cos^2 a=1,2sin a cos a=2sin a cos a/(sin^2 a+cos^2 a)=2tana/(tan^2 a+1)=2x2/(4+1)=4/5.(sina)^2-sin a cos a -2(cos a)^2=[(sina)^2-sin a cos a -2(cos a)^2]/(sin^2 a+cos^2 a)=(tan^2 a-tan a -...