函数y=sinx/2+sin(60°-x/2)的最大值是

问题描述:

函数y=sinx/2+sin(60°-x/2)的最大值是

y=sin(x/2)+sin(60-x/2)
=2sin[(x/2+60-x/2)/2]cos[[x/2-(60-x/2)]/2]
=2sin30cos(x/2-30)
=cos(x/2-30)
最大值1