1.ab={5√3cosx,cosx}*{sinx,2cosx}=5√3cosx*sinx + cosx*2cosx=5√3sinxcosx+2cos^x=(5√3/2)sin2x + 2cos^xb^=sin^x + (2cosx)^=sin^x + 4cos^x=1 + 3cos^x∴f(x)=ab+b^=(5√3/2)sin2x + 5cos^x +1=(5√3/2)sin2x...