\x0c设函数f(x)=cos(2x+3份之拍）+sin平方x,求函数f(x)的最大值和最小正周期?

f(x)=cos(2x+π/3）+sin^x
=cos2xcos(π/3)-sin2xsin(π/3)+sin^x
=(1-2sin^x)/2-√3sinxcosx+sin^x
=1/2-sin2xsin(π/3)
最大值=(1+√3)/2
最小值=(1-√3)/2
最小正周期：π