Given the function f (x) = sin (2 ω X - π / 6) - 4sin ^ 2 ω x + 2 (ω > 0), the distance between the two highest points of the image is π, Supplement: 1. Find monotone interval and increasing interval of function f (x); 2. Find the range of function f (x) on [0, π / 2]

Given the function f (x) = sin (2 ω X - π / 6) - 4sin ^ 2 ω x + 2 (ω > 0), the distance between the two highest points of the image is π, Supplement: 1. Find monotone interval and increasing interval of function f (x); 2. Find the range of function f (x) on [0, π / 2]

Adjacency of image