已知函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+a,求函数y=f(x)的最小正周期 函数fx的单调减区间,图片优先

问题描述:

已知函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+a,求函数y=f(x)的最小正周期 函数fx的单调减区间,图片优先

f(x)=2sin2xcos(π/6)-cos2x+a
=2sin2xcos(π/6)-2cos2xsin(π/6)+a
=2sin(2x-π/6)+a
最小正周期T=2π/2=π
单调减区间为:2kπ+π/2=ͼƬ���Բ����������ĵ㿴���壿