It is known that y = 2Sin (Wx + a-pai / 6) 0

It is known that y = 2Sin (Wx + a-pai / 6) 0

Distance between adjacent symmetry axes = t / 2 = π / 2
T=π
So w = 2
For even functions, the axis of symmetry x = 0
That is, f (0) = ± 1
a-π/6=kπ+π/2
a=kπ+2π/3
So a = 2 π / 3
So f (π / 8) = 2Sin (π / 4 + 2 π / 3 - π / 6)
=2sin(3π/4)
=√2