f(x)=cosx*(1/2) sin2x*(√3/2) 2sin(x-π/4)cos(x-π/4)
=(1/2)cos2x (√3/2)sen2x sen(2x-π/2)
=(1/2)cos2x (√3/2)sen2x-cos2x
=(√3/2)sen2x-(1/2)cos2x
=sen(2x-π/6)
T=2π/2=π
La ecuación del eje de simetría:
2x-π/6=π/2 2kπ
x=π/3 kπ
( 2)
-π/12≤x≤π/2
-π/6≤2x≤π
-π/3≤2x-π/ 6≤5π/ 6
-√3/2≤sen(2x-π/6)≤1