Given the vector a = (2cosx, 1), B = (cosx, root 3sin2x-1), Let f (x) = vector a * vector B, where x ∈ R (1) find the minimum positive period of the function And monotone increasing interval

Given the vector a = (2cosx, 1), B = (cosx, root 3sin2x-1), Let f (x) = vector a * vector B, where x ∈ R (1) find the minimum positive period of the function And monotone increasing interval

f(x)=ab=2cos²x+√3sin2x-1=2cos²x-1+√3sin2x=cos2x+√3sin2x=2[(1/2)cos2x+(√3/2)sin2x]=2(sinπ/6cos2x+cosπ/6sin2x)=2sin(2x+π/6)(1).T=2π/2=π(2)-π/2+2kπ≤2x+π/6≤π/2+2kπ-2π/3+2kπ≤2x...