y=sin的平方x+根号3sinxcosx-1
问题描述:
y=sin的平方x+根号3sinxcosx-1
答
y=sin²x+√3sinxcosx-1
=√3sinxcosx-1+sin²x
=(√3/2)2sinxcosx-1/2+sin²x-1/2
=(√3/2)sin2x-(1-2sin²x)/2-1/2
=(√3/2)sin2x-(cos2x)/2-1/2
=cos(π/6)sin2x-cos2xsin(π/6)-1/2
=sin(2x-π/6)-1/2