The coordinate of the highest point is (π/8, root number 2).

A=√2

The curve from this point to the adjacent lowest point intersects the X axis at this point (3 π/8,0).

Then t/4 = 3 π/8-π/8 = π/4, so t = π and w=2.

(π/8, radical number 2) is the coordinate of the highest point.

So: 2 * π/8+∮ = π/2, ∮ = π/4

f(x)=√2*sin(2x+π/4)