It is known that f (COS α) + F (- cos α) = 4sin α cos α, and | α | ≤ π / 2 (1) Find the values of F (0) and f (1); (2) Find the analytic expression of F (x); (3) Find the maximum of F (x)

It is known that f (COS α) + F (- cos α) = 4sin α cos α, and | α | ≤ π / 2 (1) Find the values of F (0) and f (1); (2) Find the analytic expression of F (x); (3) Find the maximum of F (x)

F (COS α) + F (- cos α) = 4sin α cos α (1) let α = π / 2, cos α = 0 ｛ f (0) + F (0) = 0 ｛ f (0) = 0 let α = 0, cos α = 1, sin α = 0 ｛ f (1) + F (- 1) = 0. Do you have a problem with your question? When α = π / 3, cos α = 1 / 2, sin α = √ 3 / 2F (1 / 2) + F (- 1 / 2) = √ 3 / 2, α = - π / 3, cos α = 1 / 2, sin α =

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