(1)向量m=(cosα-√2/3,-1)向量n=(sinα,1),向量m与向量n为共线向量,
∴cosα-√2/3=-sinα,
∴sinα+cosα=√2/3.①
(2)①^2,得1+sin2α=2/9,
∴sin2α=-7/9.
(sinα-cosα)^2=1-sin2α=16/9,
α∈[-π/2,0](改题了),
∴sinα-cosα
(1)向量m=(cosα-√2/3,-1)向量n=(sinα,1),向量m与向量n为共线向量,
∴cosα-√2/3=-sinα,
∴sinα+cosα=√2/3.①
(2)①^2,得1+sin2α=2/9,
∴sin2α=-7/9.
(sinα-cosα)^2=1-sin2α=16/9,
α∈[-π/2,0](改题了),
∴sinα-cosα