1.化简f(x)=cosx(asinx-cosx)+cos（π/2-x）cos(π/2-x).2.化简f(x)=4cosxsin(x+π/6)+1.

1.化简f(x)=cosx(asinx-cosx)+cos（π/2-x）cos(π/2-x).2.化简f(x)=4cosxsin(x+π/6)+1.
1.化简f(x)=cosx(asinx-cosx)+cos（π/2-x）cos(π/2-x).2.化简f(x)=4cosxsin(x+π/6)+1.

1.化简f(x)=cosx(asinx-cosx)+cos（π/2-x）cos(π/2-x).2.化简f(x)=4cosxsin(x+π/6)+1.
化简f(x)=cosx(asinx-cosx)+cos（π/2-x）cos(π/2-x).
=acosxsinx-cos^2x+sin^2x
=a/2sin2x-cos2x
2.化简f(x)=4cosxsin(x+π/6)+1.
=4cosx(√3/2sinx+1/2cosx)+1
=2√3sinxcosx+2cos^2x+1
=√3sin2x+cos2x+2
=2sin(2x+π/6)+2