已知函数F(x)=2sinxcos(x+派/6)- - 知识问答

已知函数F(x)=2sinxcos(x+派/6)-cos2x+m当X

1个回答

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 - 1/2
F(x)最小值为：m - 3/2；
m = -1.5

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