Given that the even function y = f (x) is a monotone decreasing function on [- 1,0], and α and β are two inner angles of an acute triangle, then f (sin α)______ F (COS β)

Given that the even function y = f (x) is a monotone decreasing function on [- 1,0], and α and β are two inner angles of an acute triangle, then f (sin α)______ F (COS β)

∵ even function y = f (x) is a monotone decreasing function on [- 1,0]; f (x) is a monotone increasing function on [0,1], and α and β are the two inner angles of an acute triangle ∵ α + β ∵ π 2 ∵ π 2 ∵ α ∵ π 2 - β ∵ 0 ∵ 1 ∵ sin α ∵ sin (π 2 − β) = cos β ∵ 0 ∵ f (sin α) ∵ f (COS β)

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