(1) according to the meaning of the question, A=2.

2π/w=(π/2)×2

The solution is w=2.

So f(x)=2sin(2x- π/6)+ 1.

(2)a∈(0, π/2), then a/2∈(0, π/4)

2=f(a/2)

=2sin(a -π/6)+ 1

That is sin(a- π/6)= 1/2.

a- π/6=π/6

So a=π/3

Please accept my answer if you are satisfied, O(∩_∩)O Thank you.