一道高一三函化简(急!)

y=sin^2x+根号3sinxcosx+2cos^2x
=sin^2x+根号3sinxcosx+cos^2x+cos^2x
=1+(2分之根号)3sin2x+cos^2x
由半角公式
=1+(2分之根号3)sin2x+(cos2x+1)/2
=3/2+(2分之根号3)sin2x+(1/2)cos2x
=3/2+cos30*sin2x+sin30*cos2x
=3/2+sin(2x+30)

sin^2 x+根号3sinxcosx+2cos^2 x
=1-cos^2x+根号3/2*sin2x+2cos^2x
=cos^2x+根号3/2*sin2x+1
=1/2cos2x+根号3/2sin2x+3/2
=sin(pai/6+2x)+3/2