Let f (x) = 1-1 / 2cos (2x) + asin (x / 2) * cos (x / 2) (a ∈ R) have the maximum value of 3

Let f (x) = 1-1 / 2cos (2x) + asin (x / 2) * cos (x / 2) (a ∈ R) have the maximum value of 3

f(x)=1-1/2cos(2x)+asin(x/2)*cos(x/2)
f(x)=(sinx)^2+(a/2)*sinx+1/2
sinx∈[-1,1]
The axis of symmetry is - A / 4
(1) -a/4>0
a