化简f(x)=sin(2x+6/π)-sin(2x-6/π)-cos2x+1函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+1，求f(x)的最小正周期、对称轴、对称中心、单调增区间。

化简f(x)=sin(2x+6/π)-sin(2x-6/π)-cos2x+1函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+1，求f(x)的最小正周期、对称轴、对称中心、单调增区间。
化简f(x)=sin(2x+6/π)-sin(2x-6/π)-cos2x+1
函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+1，求f(x)的最小正周期、对称轴、对称中心、单调增区间。

化简f(x)=sin(2x+6/π)-sin(2x-6/π)-cos2x+1函数f(x)=sin(2x+π/6)+sin(2x-π/6)-cos2x+1，求f(x)的最小正周期、对称轴、对称中心、单调增区间。
6/π?通常是π/6啊,下面我当π/6来解吧：
f(x)=sin(2x+π/6)-sin(2x-π/6)-cos2x+1
=(sin2xcosπ/6+cos2xsinπ/6)-(sin2xcosπ/6-cos2xsinπ/6)-cos2x+1
=2cos2xsinπ/6-cos2x+1
=cos2x-cos2x+1
=1