已知函数F(x)=2sinxcos(x+派/6)-cos2x+m当X
问题描述：
已知函数F(x)=2sinxcos(x+派/6)-cos2x+m当X
(x)的最小值为-3,求实数M的值
答
F(x)=2sinxcos(x+π/6)-cos2x+m = sin(2x+π/6) - sin(π/2-2x) + m - sin(π/6) = 2*sin(2x - π/6)*cos(π/3) + m - sin(π/6)= sin(2x - π/6) + m - 1/2F(x)最小值为：m - 3/2；m = -1.5