设sin18=x,则sin54=sin(90-36)=cos36由于54=18*3,36=18*2利用倍角公式3x-4x^3=1-2x^24x^3-2x^2-3x+1=0(x-1)(4x^2+2x-1)=04(x+1/4)^2=5/4所以x=(√5-1)/4cos18=根号(1-x^2)=√[2(5+√5)]/4
0.9510565
