sinx siny
=sinx sin(60°-x)
=sinx【sin60°cosx-cos60°sinx】
=sinx【(√3/2)cosx-(1/2)sinx】
=(√3/2)sinxcosx-(1/2)sin²x
=(√3/4)sin2x - (1/4)(1-cos2x)
=(1/2)【(√3/2)sin2x+(1/2)cos2x】-(1/4)
=(1/2)(sin60°sin2x+cos60°cos2x)-(1/4)
=(1/2)cos(2x-60°)-(1/4)
最小值为:-3/4
sinx siny
=sinx sin(60°-x)
=sinx【sin60°cosx-cos60°sinx】
=sinx【(√3/2)cosx-(1/2)sinx】
=(√3/2)sinxcosx-(1/2)sin²x
=(√3/4)sin2x - (1/4)(1-cos2x)
=(1/2)【(√3/2)sin2x+(1/2)cos2x】-(1/4)
=(1/2)(sin60°sin2x+cos60°cos2x)-(1/4)
=(1/2)cos(2x-60°)-(1/4)
最小值为:-3/4