已知cosx-sinx=3根号2/5.求coa(x+π/4),sin2x,sin^2(x-π/4)的值,
问题描述:
已知cosx-sinx=3根号2/5.求coa(x+π/4),sin2x,sin^2(x-π/4)的值,
答
cos(x+p/4)=根号2/2(cosx-sinx)=3/5,p为3.14(cosx-sinx)^2=1-sin2x,sin2x=7/25,cos(2x-p/2)=1-2sin^2(x-p/4)=sin2x,最后所求=9/25