定义运算:x*y=x^2-y^2+2xy则cosπ/3*sinπ/3的值是
问题描述：
定义运算:x*y=x^2-y^2+2xy则cosπ/3*sinπ/3的值是
为什么(cosπ/3)^2-(sinπ/3)^2=cos2π/3？
答
cosπ/3*sinπ/3
=(cosπ/3)^2-(sinπ/3)^2+2cosπ/3sinπ/3
=cos2π/3+sin2π/3
=(3^0.5-1)/2