已知函数f(x)=sin(2x+ø)+2根号3COS^2(x+ø/2)-根号3的最小正周期

问题描述:

已知函数f(x)=sin(2x+ø)+2根号3COS^2(x+ø/2)-根号3的最小正周期

f(x)=sin(2x+ø)+2根号3COS^2(x+ø/2)-根号3= sin(2x+ø) + 2根号3 [1 + cos(2x+ø)]/2 - 根号3=sin(2x+ø) + 根号3cos(2x+ø) =2 sin(2x + ø +α)所以最小正周期 = 2π/2 = π...