1. Given 2 radical 3sin ^ 2 α + (2 radical 2-radical 3) sin α cos α - radical 2cos ^ 2 α = 0, α ∈ (π / 2, π), find sin2 α 2. Given the function f (x) = 4sinxsin ^ 2 (π / 4 + X / 2) + cos2x, let the constant ω > 0, if the minimum positive period of y = f (ω x) is π (1) Find the value of ω (2) find the maximum value of G (x) = f ^ 2 (ω x) + 2F (ω x) 3. The three internal angles a, B and C of △ ABC satisfy cos2b = CoSb (1) Find the size of angle B (2) find the value range of sina + sinc

1. Given 2 radical 3sin ^ 2 α + (2 radical 2-radical 3) sin α cos α - radical 2cos ^ 2 α = 0, α ∈ (π / 2, π), find sin2 α 2. Given the function f (x) = 4sinxsin ^ 2 (π / 4 + X / 2) + cos2x, let the constant ω > 0, if the minimum positive period of y = f (ω x) is π (1) Find the value of ω (2) find the maximum value of G (x) = f ^ 2 (ω x) + 2F (ω x) 3. The three internal angles a, B and C of △ ABC satisfy cos2b = CoSb (1) Find the size of angle B (2) find the value range of sina + sinc

1. 2 √ 3sin ^ 2 α + (2 √ 2 - √ 3) sin α cos α - √ 2cos ^ 2 α = 0 = = = > (2Sin α - cos α) (√ 3sin α + √ 2cos α) = 0 = = = > 2Sin α = cos α (impossible! Because sin α is different from cos α in the second quadrant) or √ 3sin α + √ 2cos α = 0 = = = = > sin α = √ 10 / 5, cos α = - √