=cosxsinx+cos^2x

= 1/2 sin2x+ 1/2 cos 2x+ 1/2

=√2/2sin(2x+π/4)+ 1/2∴ Minimum positive period T=2π/w=2π/2=π.

(2)f(x)=2cosxsin(x+π/3)-√3

(sinx)^2+sinxcosx=2cosx[( 1/2)sinx+(√3/2)cosx]-√3

(sinx)^2+sinxcosx=2sinxcosx+√3[(cosx)^2-(sinx)^2]=sin2x+√3cos2x=2sin(2x+

π/3)∴ Minimum positive period T=2π/w=2π/2=π If you have any questions, please ask. I hope I can help you. O(∩_∩)O Haha ~ If you are satisfied, thank you for your adoption.